Q. 124.7( 3 Votes )

If and find (3A2 – 2B + I).

Answer :

Given : and


Matrix A is of order 2 2, Matrix B is of order 2 2


To find : 3A2 – 2B + I


Formula used :



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


If A is a matrix of order a b and B is a matrix of order c d ,then matrix AB exists and is of order a d ,if and only if b = c


A2 = = =


A2 =


3A2 = 3 × =


3A2 =


2B = 2 × =


2B =


I =


3A2 – 2B + I = + =


3A2 – 2B + I =


3A2 – 2B + I =


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