Q. 345.0( 1 Vote )

Find the value of

Answer :

We are given with matrix equation,


We need to find the values of x and y.


We know by the property of matrices,



This implies,


a11 = b11, a12 = b12, a21 = b21 and a22 = b22


So, if we have



Corresponding elements of two matrices are equal.


That is,


2x – y = 6 …(i)


5 = 5


3 = 3


y = -2 …(ii)


To solve for x and y, we have equations (i) and (ii).


From equation (ii),


y = -2


Substituting y = -2 in equation (i), we get


2x – y = 6


2x – (-2) = 6


2x + 2 = 6


2x = 6 – 2


2x = 4



x = 2


Thus, we get x = 2 and y = -2.


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