If , then find the value of y.
We are given that,
We need to find the value of y.
We know by the property of matrices,
This implies,
a11 = b11, a12 = b12, a21 = b21 and a22 = b22
So, if we have
Corresponding elements of two elements are equal.
That is,
x = 3 …(i)
x – y = 1 …(ii)
2x + y = 8 …(iii)
7 = 7
To solve for y, we have equations (i), (ii) and (iii).
From equation (i),
x = 3
Substituting the value of x = 3 in equation (ii),
x – y = 1
⇒ 3 – y = 1
⇒ y = 3 – 1
⇒ y = 2
Thus, we get y = 2.