Q. 54.0( 4 Votes )

Find values of a

Answer :

We have the matrices A and B, where



We need to find the values of a and b.


We know that, if



Then,


a11 = b11


a12 = b12


a21 = b21


a22 = b22


Also, A = B.



This means,


a + 4 = 2a + 2 …(i)


3b = b2 + 2 …(ii)


8 = 8


-6 = b2 – 5b …(iii)


From equation (i), we can find the value of a.


a + 4 = 2a + 2


2a – a = 4 – 2


a = 2


From equation (ii), we can find the value of b2.


3b = b2 + 2


b2= 3b – 2


Substitute the value of b2 in equation (iii), we get


-6 = b2 – 5b


-6 = (3b – 2) – 5b


-6 = 3b – 2 – 5b


-6 = 3b – 5b – 2


-6 = -2b – 2


2b = 6 – 2


2b = 4



b = 2


Thus, a = 2 and b = 2.


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