Let f(x) = x² − 5x + 6. Find f(A) if A = [[2, 0], [1, 2]]. A. [[0, 0], [0, 0]] B. [[2, 0], [1, 2]] C. [[0, 0], [-1, 0]] D. [[6, 0], [0, 6]] Answer: C) [[0, 0], [-1, 0]] Explanation: A² = [[4, 0], [4, 4]], 5A = [[10, 0], [5, 10]], 6I = [[6, 0], [0, 6]]. f(A) = A² − 5A + 6I = [[0, 0], [−1, 0]].

imo class 12 matrices

Let f(x) = x² − 5x + 6. Find f(A) if A = [[2, 0], [1, 2]].

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Let f(x) = x² − 5x + 6. Find f(A) if A = [[2, 0], [1, 2]].

Answer: C) [[0, 0], [-1, 0]]

Explanation: A² = [[4, 0], [4, 4]], 5A = [[10, 0], [5, 10]], 6I = [[6, 0], [0, 6]]. f(A) = A² − 5A + 6I = [[0, 0], [−1, 0]].