If A is a matrix of order 3×3 such that A² = A, then what is the value of |A|?
If A is a matrix of order 3×3 such that A² = A, then what is the value of |A|?
- A. Only 1
- B. Only 0
- C. Either 0 or 1
- D. Any real number
Answer: C) Either 0 or 1
Explanation: If A² = A, taking determinants gives |A|² = |A|, so |A|² - |A| = 0. Therefore, |A| = 0 or 1.
0 Answers
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.