Q. 185.0( 2 Votes )

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

Answer :

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 =


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