Show that the matrix 
satisfies the equation A3 – 4A2 + A = O.
Given : 
Matrix A is of order 2 
2.
To show : A3 - 4A2 + A = 0
Formula used :
Where cij = ai1b1j + ai2b2j + ai3b3j + ……………… + ainbnj
A2 and A3 are matrices of order 2 x 2.
A2 = 
= 
= 
A2 = 
A3 = 
= 
= 
A3 = 
4A2 = 4 ×
= 
4A2 = 
A3 - 4A2 + A = 
+ 
= 
= 
A3 - 4A2 + A = 0
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