We are given that,

We need to find the value of b.

We know by the property of matrices,

This implies,

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

Similarly,

a – b = -1 …(i)

2a + c = 5 …(ii)

2a – b = 0 …(iii)

3c + d = 13 …(iv)

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

We need not solve equations (ii) and (iv). We will be able to solve for b from equations (i) and (iii).

Multiply equation (i) by 2.

a – b = -1 [× 2

⇒ 2a – 2b = -2 …(v)

Subtracting equation (iii) from equation (v),

⇒ -b = -2

⇒ b = 2

Thus, the value of b = 2.