# 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 31451: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0026`; number: 31451
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0026/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0026.json)

## Question 31452: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0027`; number: 31452
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0027/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0027.json)

## Question 31453: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0028`; number: 31453
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0028/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0028.json)

## Question 31454: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0029`; number: 31454
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0029/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0029.json)

## Question 31455: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0030`; number: 31455
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0030/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0030.json)

## Question 31456: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0031`; number: 31456
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0031/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0031.json)

## Question 31457: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0032`; number: 31457
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0032/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0032.json)

## Question 31458: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0033`; number: 31458
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0033/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0033.json)

## Question 31459: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0034`; number: 31459
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0034/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0034.json)

## Question 31460: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0035`; number: 31460
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0035/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0035.json)

## Question 31461: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0036`; number: 31461
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0036/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0036.json)

## Question 31462: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0037`; number: 31462
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0037/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0037.json)

## Question 31463: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0038`; number: 31463
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0038/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0038.json)

## Question 31464: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0039`; number: 31464
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0039/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0039.json)

## Question 31465: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0040`; number: 31465
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0040/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0040.json)

## Question 31466: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0041`; number: 31466
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0041/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0041.json)

## Question 31467: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0042`; number: 31467
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0042/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0042.json)

## Question 31468: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0043`; number: 31468
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0043/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0043.json)

## Question 31469: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0044`; number: 31469
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0044/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0044.json)

## Question 31470: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0045`; number: 31470
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0045/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0045.json)

## Question 31471: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0046`; number: 31471
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0046/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0046.json)

## Question 31472: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0047`; number: 31472
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0047/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0047.json)

## Question 31473: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0048`; number: 31473
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0048/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0048.json)

## Question 31474: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0049`; number: 31474
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0049/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0049.json)

## Question 31475: Distinct Real Eigenvalues of a Diagonal Matrix

- ID: `q-20261006-advance-20261007-r04-eigenvalue-0050`; number: 31475
- Processing: second_context_reviewed
- MKO: [mko-eigenvalue](/en/mko/mko-eigenvalue/)
- Family: [qf-eigenvalue-diagonal-set](/en/explore/?family=qf-eigenvalue-diagonal-set)
- Batch: [batch-20261006-advance-20261007-r04-eigenvalue-foundations](/en/explore/?batch=batch-20261006-advance-20261007-r04-eigenvalue-foundations)
- [Derivation](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0050/) / [Markdown](/en/questions/q-20261006-advance-20261007-r04-eigenvalue-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261006-advance-20261007-r04-eigenvalue-0050.json)

