Question

Find the inverse of the matrices if they Exist. Use the algorithm introduced in the section. [1 0 -2 -3 1 4 2 -3 4]

Answer 1

\frac{1}{2} \left[\begin{array}{ccc}16&6&2\\20&8&2\\7&3&1\end{array}\right]

Explanation:

Given is a matrix 3x3 as

`\left[\begin{array}{ccc}1&0&2\\-3&1&4\\2&-3&4\end{array}\right]`

|A| =2 hence inverse exists.

Cofactors are 16 20 7

6 8 3

2 2 1

Hence inverse =

`(1)/(2) \left[\begin{array}{ccc}16&6&2\\20&8&2\\7&3&1\end{array}\right]`