If A = [[0, 2], [0, 0]], then A² is equal to: A. [[0, 4], [0, 0]] B. [[0, 0], [0, 0]] C. [[0, 2], [0, 0]] D. [[2, 0], [0, 0]] Answer: B) [[0, 0], [0, 0]] Explanation: A × A = [[0×0 + 2×0, 0×2 + 2×0], [0×0 + 0×0, 0×2 + 0×0]] = [[0, 0], [0, 0]]. This makes A a nilpotent matrix of index 2.

imo class 12 matrices

If A = [[0, 2], [0, 0]], then A² is equal to:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A = [[0, 2], [0, 0]], then A² is equal to:

Answer: B) [[0, 0], [0, 0]]

Explanation: A × A = [[0×0 + 2×0, 0×2 + 2×0], [0×0 + 0×0, 0×2 + 0×0]] = [[0, 0], [0, 0]]. This makes A a nilpotent matrix of index 2.