Mathematics · Linear Algebra
Let A be an n × n matrix such that the first 3 rows of A are linearly independent and the first 5 columns of A are linearly independent. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1rank A 2 ≥ 5
- 2rank A ≥ 5✓
- 33 ≤ rank A ≤ 4
- 4A has at most 4 linearly independent rows
Correct answer
rank A ≥ 5
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