# OCME ยท 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 13026: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0026`; number: 13026 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0026/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0026.json) ## Question 13027: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0027`; number: 13027 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0027/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0027.json) ## Question 13028: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0028`; number: 13028 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0028/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0028.json) ## Question 13029: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0029`; number: 13029 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0029/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0029.json) ## Question 13030: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0030`; number: 13030 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0030/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0030.json) ## Question 13031: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0031`; number: 13031 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0031/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0031.json) ## Question 13032: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0032`; number: 13032 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0032/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0032.json) ## Question 13033: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0033`; number: 13033 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0033/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0033.json) ## Question 13034: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0034`; number: 13034 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0034/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0034.json) ## Question 13035: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0035`; number: 13035 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0035/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0035.json) ## Question 13036: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0036`; number: 13036 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0036/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0036.json) ## Question 13037: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0037`; number: 13037 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0037/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0037.json) ## Question 13038: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0038`; number: 13038 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0038/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0038.json) ## Question 13039: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0039`; number: 13039 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0039/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0039.json) ## Question 13040: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0040`; number: 13040 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0040/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0040.json) ## Question 13041: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0041`; number: 13041 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0041/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0041.json) ## Question 13042: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0042`; number: 13042 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0042/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0042.json) ## Question 13043: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0043`; number: 13043 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0043/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0043.json) ## Question 13044: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0044`; number: 13044 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0044/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0044.json) ## Question 13045: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0045`; number: 13045 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0045/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0045.json) ## Question 13046: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0046`; number: 13046 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0046/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0046.json) ## Question 13047: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0047`; number: 13047 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0047/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0047.json) ## Question 13048: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0048`; number: 13048 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0048/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0048.json) ## Question 13049: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0049`; number: 13049 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0049/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0049.json) ## Question 13050: A Nonzero Affine Translation Fails the Zero-Image Obligation - ID: `q-20261014-advance-20261027-r05-general-linear-map-0050`; number: 13050 - Processing: second_context_reviewed - MKO: [mko-general-linear-map](/en/mko/mko-general-linear-map/) - Family: [qf-mod27-linearmap-affine-qualification](/en/explore/?family=qf-mod27-linearmap-affine-qualification) - Batch: [batch-20261014-advance-20261027-r05-general-linear-map-foundations](/en/explore/?batch=batch-20261014-advance-20261027-r05-general-linear-map-foundations) - [Derivation](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0050/) / [Markdown](/en/questions/q-20261014-advance-20261027-r05-general-linear-map-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261027-r05-general-linear-map-0050.json)