# 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 32826: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0026`; number: 32826
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0026/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0026.json)

## Question 32827: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0027`; number: 32827
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0027/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0027.json)

## Question 32828: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0028`; number: 32828
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0028/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0028.json)

## Question 32829: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0029`; number: 32829
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0029/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0029.json)

## Question 32830: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0030`; number: 32830
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0030/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0030.json)

## Question 32831: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0031`; number: 32831
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0031/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0031.json)

## Question 32832: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0032`; number: 32832
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0032/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0032.json)

## Question 32833: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0033`; number: 32833
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0033/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0033.json)

## Question 32834: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0034`; number: 32834
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0034/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0034.json)

## Question 32835: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0035`; number: 32835
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0035/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0035.json)

## Question 32836: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0036`; number: 32836
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0036/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0036.json)

## Question 32837: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0037`; number: 32837
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0037/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0037.json)

## Question 32838: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0038`; number: 32838
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0038/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0038.json)

## Question 32839: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0039`; number: 32839
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0039/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0039.json)

## Question 32840: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0040`; number: 32840
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0040/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0040.json)

## Question 32841: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0041`; number: 32841
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0041/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0041.json)

## Question 32842: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0042`; number: 32842
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0042/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0042.json)

## Question 32843: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0043`; number: 32843
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0043/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0043.json)

## Question 32844: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0044`; number: 32844
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0044/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0044.json)

## Question 32845: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0045`; number: 32845
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0045/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0045.json)

## Question 32846: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0046`; number: 32846
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0046/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0046.json)

## Question 32847: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0047`; number: 32847
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0047/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0047.json)

## Question 32848: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0048`; number: 32848
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0048/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0048.json)

## Question 32849: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0049`; number: 32849
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0049/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0049.json)

## Question 32850: Linearity of an Explicit Affine Map

- ID: `q-20261006-advance-20261007-r02-linear-transformation-0050`; number: 32850
- Processing: second_context_reviewed
- MKO: [mko-linear-transformation](/en/mko/mko-linear-transformation/)
- Family: [qf-linear-map-affine-test](/en/explore/?family=qf-linear-map-affine-test)
- Batch: [batch-20261006-advance-20261007-r02-linear-transformation-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r02-linear-transformation-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0050/) / [Markdown](/en/questions/q-20261006-advance-20261007-r02-linear-transformation-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r02-linear-transformation-0050.json)

