Answer :

We are given that,


We need to find the value of a – 2b.


We know by the property of matrices,



This implies,


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


Therefore,


a + 4 = 2a + 2 …(i)


3b = b + 2 …(ii)


8 = 8


-6 = a – 8b …(iii)


We have the equations (i), (ii) and (iii).


From equation (i),


a + 4 = 2a + 2


2a – a = 4 – 2


a = 2


From equation (ii),


3b = b + 2


3b – b = 2


2b = 2



b = 1


We have a = 2 and b = 1.


Substituting the values of a and b in


a – 2b = 2 – 2(1)


a – 2b = 2 – 2


a – 2b = 0


Thus, the value of a – 2b is 0.


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