Q. 175.0( 4 Votes )

If find f(A), where f(x) = x2 – 2x + 3.

Answer :

Given : and f(x) = x2 – 2x + 3.


Matrix A is of order 2 2.


To find : f(A)


Formula used :



Where cij = ai1b1j + ai2b2j + ai3b3j + ……………… + ainbnj


A2 is a matrix of order 2 x 2.


f(x) = x2 – 2x + 3


f(A) = A2 – 2A + 3I


A2 = =


A2 = =


A2 =


2A = 2 × =


2A =


3I = 3 × =


3I =


f(A) = A2 – 2A + 3I = + =


f(A) = A2 – 2A + 3I =


f(A) = A2 – 2A + 3I =


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