Question

Find the inverse of the following matrix:

`[(3,1),(-1,3)]`

Answer 1

Let A = `[(3,1),(-1,3)]`

∴ |A| = 9 + 1 = 5

adj A = `[(3,-1),(1,3)]`

`"A"^-1 = 1/|"A"|` adj A = `1/10[(3,-1),(1,3)]`