# 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 16901: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0001`; number: 16901 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0001/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0001/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0001.json) ## Question 16902: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0002`; number: 16902 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0002/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0002/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0002.json) ## Question 16903: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0003`; number: 16903 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0003/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0003/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0003.json) ## Question 16904: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0004`; number: 16904 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0004/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0004/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0004.json) ## Question 16905: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0005`; number: 16905 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0005/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0005/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0005.json) ## Question 16906: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0006`; number: 16906 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0006/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0006/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0006.json) ## Question 16907: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0007`; number: 16907 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0007/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0007/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0007.json) ## Question 16908: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0008`; number: 16908 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0008/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0008/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0008.json) ## Question 16909: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0009`; number: 16909 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0009/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0009/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0009.json) ## Question 16910: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0010`; number: 16910 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0010/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0010/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0010.json) ## Question 16911: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0011`; number: 16911 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0011/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0011/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0011.json) ## Question 16912: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0012`; number: 16912 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0012/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0012/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0012.json) ## Question 16913: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0013`; number: 16913 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0013/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0013/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0013.json) ## Question 16914: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0014`; number: 16914 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0014/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0014/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0014.json) ## Question 16915: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0015`; number: 16915 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0015/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0015/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0015.json) ## Question 16916: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0016`; number: 16916 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0016/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0016/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0016.json) ## Question 16917: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0017`; number: 16917 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0017/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0017/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0017.json) ## Question 16918: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0018`; number: 16918 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0018/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0018/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0018.json) ## Question 16919: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0019`; number: 16919 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0019/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0019/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0019.json) ## Question 16920: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0020`; number: 16920 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0020/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0020/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0020.json) ## Question 16921: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0021`; number: 16921 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0021/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0021/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0021.json) ## Question 16922: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0022`; number: 16922 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0022/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0022/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0022.json) ## Question 16923: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0023`; number: 16923 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0023/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0023/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0023.json) ## Question 16924: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0024`; number: 16924 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0024/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0024/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0024.json) ## Question 16925: A Basis Requires Both Independence and Spanning - ID: `q-20261014-advance-20261102-r01-vector-space-dimension-0025`; number: 16925 - Processing: second_context_reviewed - MKO: [mko-vector-space-dimension](/en/mko/mko-vector-space-dimension/) - Family: [qf-mod33-dimension-basis-audit](/en/explore/?family=qf-mod33-dimension-basis-audit) - Batch: [batch-20261014-advance-20261102-r01-vector-space-dimension-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r01-vector-space-dimension-foundations) - [Derivation](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0025/) / [Markdown](/en/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0025/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r01-vector-space-dimension-0025.json)