If 
find f(A), where f(x) = x2 – 5x + 7.
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 = 
1