If A = [[x, 0], [0, y]] and B = [[a, 0], [0, b]], then AB is equal to:
If A = [[x, 0], [0, y]] and B = [[a, 0], [0, b]], then AB is equal to:
- A. [[xa, 0], [0, yb]]
- B. [[x+a, 0], [0, y+b]]
- C. [[x, a], [y, b]]
- D. [[a, x], [b, y]]
Answer: A) [[xa, 0], [0, yb]]
Explanation: For diagonal matrices, multiplication is element-wise on the diagonal: AB = [[x×a, 0], [0, y×b]] = [[xa, 0], [0, yb]].
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