If , find x – y.
We are given that,
We need to find the value of (x – y).
Take,
Multiplying 2 by each element of the matrix,
In addition of matrices, we need to add the corresponding elements of the matrices.
So,
We know by the property of matrices,
This implies,
a11 = b11, a12 = b12, a21 = b21 and a22 = b22
So,
7 = 7
8 + y = 0 …(i)
10 = 10
2x + 1 = 5 …(ii)
Let us find x and y using the equations (i) and (ii).
From equation (i),
8 + y = 0
⇒ y = -8
From equation (ii),
2x + 1 = 5
⇒ 2x = 5 – 1
⇒ 2x = 4
⇒ x = 2
So, x = 2 and y = -8.
Then,
x – y = 2 – (-8)
⇒ x – y = 2 + 8
⇒ x – y = 10
Thus, the value of (x – y) is 10.