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Q. 365.0( 1 Vote )

Find the value of

Answer :

We are given that,


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,


3x + y = 1 …(i)


-y = 2 …(ii)


2y – x = -5 …(iii)


3 = 3


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


From equation (ii),


-y = 2


Multiplying both sides by -1,


-1 × -y = -1 × 2


y = -2


Substituting y = -2 in either of the equations (i) or (iii), say (i)


3x + y = 1


3x + (-2) = 1


3x – 2 = 1


3x = 1 + 2


3x = 3



x = 1


Thus, we get x = 1 and y = -2.


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