imo class 12 matrices

If A = [[1, 0], [0, 1]] and B = [[0, 1], [1, 0]], then AB is equal to:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A = [[1, 0], [0, 1]] and B = [[0, 1], [1, 0]], then AB is equal to:

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

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

Explanation: AB = [[1×0+0×1, 1×1+0×0], [0×0+1×1, 0×1+1×0]] = [[0, 1], [1, 0]] = B. Since A is the identity matrix, AB = B.

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