Mathematics · Matrix Algebra
Which of the following statements is incorrect regarding an n × n matrix?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A matrix A is non-singular if and only if AB = I or BA = I for some n × n matrix B.
- 2Elementary row or column operations do not affect the rank of a matrix.
- 3Matrix equivalence is an equivalence relation.
- 4The rank of an invertible idempotent matrix of order n is n + 1.✓
Correct answer
The rank of an invertible idempotent matrix of order n is n + 1.
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