imo class 12 matrices

If A = [[1, 2], [3, 4]] and f(x) = x² − 5x, then f(A) is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A = [[1, 2], [3, 4]] and f(x) = x² − 5x, then f(A) is:

  • A. 2I
  • B. −2I
  • C. 0
  • D. I

Answer: A) 2I

Explanation: We computed earlier: A² = [[7, 10], [15, 22]], 5A = [[5, 10], [15, 20]]. A² − 5A = [[2, 0], [0, 2]] = 2I. So f(A) = 2I.

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