If , where I is 2 × 2 unit matrix. Find x and y.
Here, it is given that I is a 2 × 2 unit matrix
So,
So, given equation becomes
Comparing the matrices, we get
1 + 2x = 1 …(i)
and y + 2 = 0 …(ii)
Solving eq. (i), we get
1 + 2x = 1
⇒ 2x = 0
⇒ x = 0
Solving eq. (ii), we get
y + 2 = 0
⇒ y = -2
Hence, the value of x = 0 and y = -2