imo class 12 determinants

If A is a matrix of order 3×3 such that A² = A, then what is the value of |A|?

VAVidaara Admin Asked 6d ago 0 views 0 answers

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.

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