Question

If `A = [(3, x),(0, 1)]` and `B = [(9, 16),(0, -y)]` Find x and y when `A^2 = B`

Answer 1

Given `A= [(3, x),(0, 1)], B = [(9, 16),(0, -y)]` and `A^2 = B`

Now `A^2 = A xx A`

`= [(3, x),(0,1)] xx [(3, x),(0, 1)]`

`= [(9, 3x + x),(0, 1)]`

`= [(9, 4x),(0, 1)]`

We have `A^2 = B`

Two matrices are equal if each and every corresponding elements is equal.

`=> [(9, 4x), (0, 1)] = [(9, 16),(0, -y)]`

=> 4x = 16 and 1 = -y

=> x = 4 and y = = -1