Question

The inverse of the matrix `[[-1,5],[-3,2]]` is _______

Options

• 1/13`[[2,-5],[3,-1]]`

• 1/13 `[[-1,5],[-3,2]]`

• 1/13 `[[-1,-3],[5,2]]`

• 1/13 `[[1,5],[3,-2]]`

Answer 1

(A) 1/13`[[2,-5],[3,-1]]`

|A| = - 2 + 15 = 13

`A^-1 = ("adj" A)/|A| = ([[2,-5],[3,-1]])/13`

`A^-1=1/13[[2,-5],[3,-1]]`