If A = [[1, 2], [2, 1]] and B = [[0, 1], [1, −2]], then (A + B)² equals: A. [[10, 0], [0, 10]] B. [[5, 0], [0, 5]] C. [[1, 0], [0, 1]] D. [[0, 10], [10, 0]] Answer: A) [[10, 0], [0, 10]] Explanation: A + B = [[1, 3], [3, −1]]. (A + B)² = [[1·1+3·3, 1·3+3·(−1)], [3·1+(−1)·3, 3·3+(−1)(−1)]] = [[10, 0], [0, 10]].

imo class 12 matrices

If A = [[1, 2], [2, 1]] and B = [[0, 1], [1, −2]], then (A + B)² equals:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A = [[1, 2], [2, 1]] and B = [[0, 1], [1, −2]], then (A + B)² equals:

Answer: A) [[10, 0], [0, 10]]

Explanation: A + B = [[1, 3], [3, −1]]. (A + B)² = [[1·1+3·3, 1·3+3·(−1)], [3·1+(−1)·3, 3·3+(−1)(−1)]] = [[10, 0], [0, 10]].