Mathematics · Linear Algebra
Which one of the following statements is FALSE?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The product of two 2 × 2 real matrices of rank 1 can be t he zero matrix.
- 2The product of two 3 × 3 real matrices of rank 2 is of rank at least 2.✓
- 3The product of two 3 × 3 real matrices of rank 2 is of rank at most 2.
- 4The product of two 2 × 2 real matrices of rank 2 is of rank 2.
Correct answer
The product of two 3 × 3 real matrices of rank 2 is of rank at least 2.
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