imo class 12 matrices

If A = [[2, 3], [1, 2]] and B = [[2, −3], [−1, 2]], then AB is equal to:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A = [[2, 3], [1, 2]] and B = [[2, −3], [−1, 2]], then AB is equal to:

  • A. [[1, 0], [0, 1]]
  • B. [[0, 1], [1, 0]]
  • C. [[7, 0], [0, 7]]
  • D. [[4, 0], [0, 4]]

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

Explanation: AB = [[2×2+3×(−1), 2×(−3)+3×2], [1×2+2×(−1), 1×(−3)+2×2]] = [[4−3, −6+6], [2−2, −3+4]] = [[1, 0], [0, 1]].

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