imo class 12 matrices

If A = [[0, 1], [−1, 0]] and B = [[2, 0], [0, 2]], then A² + B is equal to:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A = [[0, 1], [−1, 0]] and B = [[2, 0], [0, 2]], then A² + B is equal to:

  • A. [[1, 0], [0, 1]]
  • B. [[−2, 0], [0, −2]]
  • C. [[2, 1], [−1, 2]]
  • D. [[−2, 1], [−1, −2]]

Answer: A) [[1, 0], [0, 1]]

Explanation: A² = [[0, 1], [−1, 0]] × [[0, 1], [−1, 0]] = [[−1, 0], [0, −1]] = −I. B = 2I. So A² + B = −I + 2I = I = [[1, 0], [0, 1]].

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