Q. 315.0( 7 Votes )

If <span lang="EN

Answer :

Given : and f(x) = x2 – 5x + 7.


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 – 5x + 7


f(A) = A2 – 5A + 7I


A2 = = =


A2 =


5A = 5 × =


5A =


7I = 7 × =


7I =


f(A) = A2 – 5A + 7I = + =


f(A) = A2 – 5A + 7I =


f(A) = A2 – 5A + 7I =


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