# OCME · Knowledge & practice explorer

302 MKO / 1,441 families / 360 batches / 36,000 questions.

36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training.

25 results; page 1/1.

## Question 11276: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0001`; number: 11276
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0001/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0001/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0001.json)

## Question 11277: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0002`; number: 11277
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0002/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0002/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0002.json)

## Question 11278: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0003`; number: 11278
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0003/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0003/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0003.json)

## Question 11279: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0004`; number: 11279
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0004/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0004/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0004.json)

## Question 11280: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0005`; number: 11280
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0005/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0005/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0005.json)

## Question 11281: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0006`; number: 11281
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0006/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0006/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0006.json)

## Question 11282: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0007`; number: 11282
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0007/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0007/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0007.json)

## Question 11283: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0008`; number: 11283
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0008/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0008/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0008.json)

## Question 11284: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0009`; number: 11284
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0009/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0009/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0009.json)

## Question 11285: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0010`; number: 11285
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0010/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0010/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0010.json)

## Question 11286: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0011`; number: 11286
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0011/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0011/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0011.json)

## Question 11287: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0012`; number: 11287
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0012/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0012/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0012.json)

## Question 11288: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0013`; number: 11288
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0013/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0013/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0013.json)

## Question 11289: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0014`; number: 11289
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0014/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0014/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0014.json)

## Question 11290: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0015`; number: 11290
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0015/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0015/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0015.json)

## Question 11291: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0016`; number: 11291
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0016/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0016/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0016.json)

## Question 11292: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0017`; number: 11292
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0017/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0017/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0017.json)

## Question 11293: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0018`; number: 11293
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0018/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0018/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0018.json)

## Question 11294: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0019`; number: 11294
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0019/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0019/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0019.json)

## Question 11295: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0020`; number: 11295
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0020/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0020/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0020.json)

## Question 11296: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0021`; number: 11296
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0021/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0021/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0021.json)

## Question 11297: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0022`; number: 11297
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0022/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0022/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0022.json)

## Question 11298: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0023`; number: 11298
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0023/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0023/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0023.json)

## Question 11299: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0024`; number: 11299
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0024/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0024/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0024.json)

## Question 11300: Exact Rank versus Independence of a Finite Vector Family

- ID: `q-20261013-advance-20261024-r01-linear-independence-basis-0025`; number: 11300
- Processing: second_context_reviewed
- MKO: [mko-linear-independence-basis](/en/mko/mko-linear-independence-basis/)
- Family: [qf-mod24-linbasis-independence-audit](/en/explore/?family=qf-mod24-linbasis-independence-audit)
- Batch: [batch-20261013-advance-20261024-r01-linear-independence-basis-foundations](/en/explore/?batch=batch-20261013-advance-20261024-r01-linear-independence-basis-foundations)
- [Derivation](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0025/) / [Markdown](/en/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0025/index.md) / [JSON](/data/question-derivations/questions/q-20261013-advance-20261024-r01-linear-independence-basis-0025.json)