# If and f(x) = 2x3 + 4x + 5, find f(A).

Given : and f(x) = 2x3 + 4x + 5

Matrix A is of order 2 2.

To find : f(A)

Formula used : Where cij = ai1b1j + ai2b2j + ai3b3j + ……………… + ainbnj

A3 is a matrix of order 2 x 2.

f(x) = 2x3 + 4x + 5

f(A) = 2A3 + 4A + 5I

A2 = = = A2 = A3 = × = A3 = = A3 = 2A3 = 2 × = 2A3 = 4A = 4 × = 4A = 5I = 5 × = 5I = 2A3 + 4A + 5I = + + = f(A) = 2A3 + 4A + 5I = f(A) = 2A3 + 4A + 5I = Rate this question :

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