Find the value of y, if .
We are given that,
We need to find the values of x and 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 matrices are equal.
That is,
x – y = 2 …(i)
2 = 2
x = 3 …(ii)
5 = 5
To solve for x and y, we have equations (i) and (ii).
From equation (ii),
x = 3
Substituting x = 3 in equation (i), we get
3 – y = 2
⇒ y = 3 – 2
⇒ y = 1
Thus, we get x = 3 and y = 1.