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