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