Q. 194.2( 5 Votes )

Find the values of x and y, when



Answer :

Given :


To find : x and y


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


The resulting matrix obtained on multiplying and is of order 2 × 1


× = =


=


Equating similar terms,


2x – 3y = 1 equation 1


x + y = 3 equation 2


equation 1 + 3(equation 2) and solving the above equations,



x = = 2


x = 2 , substituting x = 2 in equation 2,


2 + y = 3


y = 3 – 2 = 1


x = 2 and y = 1


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