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