Question

1. Find the inverse of the following matrices A -() 3 0 2 -1

Answer 1

Explanation:

Given is a 2x2 square matrix A as

`\left[\begin{array}{ccc}3&0\\2&-1\\\end{array}\right]`

|A|=6

Cofactors are

`\left[\begin{array}{ccc}-1&-2\\0&3\end{array}\right]`

adj matrix =
`\left[\begin{array}{ccc}-1&0\\-2&3\end{array}\right]`

Hence Inverse of A

=
`(1)/(6) \left[\begin{array}{ccc}-1&0\\-2&3\end{array}\right]`