imo class 12 matrices

If A is a square matrix such that A² = A, then A is called:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A is a square matrix such that A² = A, then A is called:

  • A. Idempotent matrix
  • B. Nilpotent matrix
  • C. Involutory matrix
  • D. Orthogonal matrix

Answer: A) Idempotent matrix

Explanation: A matrix satisfying A² = A is called idempotent. Nilpotent means A² = 0 (for some power). Involutory means A² = I. Orthogonal means AA' = I.

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