imo class 12 matrices

If A = [[1, 3], [2, 4]] and B = [[−1, 2], [0, 1]], then the element c₂₁ of the matrix C = AB is:

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If A = [[1, 3], [2, 4]] and B = [[−1, 2], [0, 1]], then the element c₂₁ of the matrix C = AB is:

  • A. −2
  • B. 2
  • C. 1
  • D. 4

Answer: A) −2

Explanation: C = AB = [[1×(−1)+3×0, 1×2+3×1], [2×(−1)+4×0, 2×2+4×1]] = [[−1, 5], [−2, 8]]. c₂₁ is the element in row 2, column 1, which is −2.

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