Q. 595.0( 1 Vote )

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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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