# 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 17176: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0051`; number: 17176
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0051/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0051.json)

## Question 17177: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0052`; number: 17177
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0052/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0052.json)

## Question 17178: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0053`; number: 17178
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0053/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0053.json)

## Question 17179: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0054`; number: 17179
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0054/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0054.json)

## Question 17180: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0055`; number: 17180
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0055/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0055.json)

## Question 17181: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0056`; number: 17181
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0056/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0056.json)

## Question 17182: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0057`; number: 17182
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0057/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0057.json)

## Question 17183: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0058`; number: 17183
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0058/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0058.json)

## Question 17184: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0059`; number: 17184
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0059/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0059.json)

## Question 17185: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0060`; number: 17185
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0060/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0060.json)

## Question 17186: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0061`; number: 17186
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0061/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0061.json)

## Question 17187: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0062`; number: 17187
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0062/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0062.json)

## Question 17188: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0063`; number: 17188
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0063/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0063.json)

## Question 17189: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0064`; number: 17189
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0064/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0064.json)

## Question 17190: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0065`; number: 17190
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0065/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0065.json)

## Question 17191: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0066`; number: 17191
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0066/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0066.json)

## Question 17192: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0067`; number: 17192
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0067/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0067.json)

## Question 17193: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0068`; number: 17193
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0068/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0068.json)

## Question 17194: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0069`; number: 17194
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0069/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0069.json)

## Question 17195: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0070`; number: 17195
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0070/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0070.json)

## Question 17196: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0071`; number: 17196
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0071/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0071.json)

## Question 17197: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0072`; number: 17197
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0072/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0072.json)

## Question 17198: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0073`; number: 17198
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0073/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0073.json)

## Question 17199: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0074`; number: 17199
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0074/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0074.json)

## Question 17200: Nullity Counts a Full Kernel Basis

- ID: `q-20261014-advance-20261102-r02-linear-map-kernel-0075`; number: 17200
- Processing: second_context_reviewed
- MKO: [mko-linear-map-kernel](/en/mko/mko-linear-map-kernel/)
- Family: [qf-mod33-kernel-nullity](/en/explore/?family=qf-mod33-kernel-nullity)
- Batch: [batch-20261014-advance-20261102-r02-linear-map-kernel-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r02-linear-map-kernel-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0075/) / [Markdown](/en/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r02-linear-map-kernel-0075.json)

