imo class 12 matrices

If A = [[1, 2], [3, 4]] and I is the identity matrix of order 2, then A² − 5A is equal to:

VAVidaara Admin Asked 1mo ago 0 views 0 answers

If A = [[1, 2], [3, 4]] and I is the identity matrix of order 2, then A² − 5A is equal to:

  • A. 2I
  • B. −2I
  • C. I
  • D. Zero matrix

Answer: A) 2I

Explanation: A² = [[1, 2], [3, 4]] × [[1, 2], [3, 4]] = [[7, 10], [15, 22]]. 5A = [[5, 10], [15, 20]]. A² − 5A = [[2, 0], [0, 2]] = 2I.

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