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


1