imo class 12 matrices

If A = [[1, 2], [3, 4]] and B = [[1, 1], [1, 1]], then (AB)' equals:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A = [[1, 2], [3, 4]] and B = [[1, 1], [1, 1]], then (AB)' equals:

  • A. [[3, 7], [3, 7]]
  • B. [[4, 4], [8, 8]]
  • C. [[3, 3], [7, 7]]
  • D. [[4, 8], [4, 8]]

Answer: A) [[3, 7], [3, 7]]

Explanation: AB = [[1×1+2×1, 1×1+2×1], [3×1+4×1, 3×1+4×1]] = [[3, 3], [7, 7]]. Transpose of AB is [[3, 7], [3, 7]].

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