M L Aggarwal Solutions for Chapter: Matrices, Exercise 5: EXERCISE 3.5

Find the inverse of the following  matrices, if they exist, by using elementary operations.

$\left[\begin{array}{cc}3& 10\\ 2& 7\end{array}\right]$

Find the inverse of the following  matrices, if they exist, by using elementary operations.

$\left[\begin{array}{cc}1& -1\\ 2& 3\end{array}\right]$

Find the inverse of the following  matrices, if they exist, by using elementary operations.

$\left[\begin{array}{cc}3& -1\\ -4& 2\end{array}\right]$

Find the inverse of the following matrices, if they exist, by using elementary operations.

$\left[\begin{array}{cc}10& -2\\ -5& 1\end{array}\right]$

Find the inverse of the following  matrices, if they exist, by using elementary operations.

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

Find the inverse of the following  matrices, if they exist, by using elementary operations.

$\left[\begin{array}{ccc}1& 2& 3\\ 2& 5& 7\\ -2& -4& -5\end{array}\right]$

Find the inverse of the following  matrices, if they exist, by using elementary operations.

$\left[\begin{array}{ccc}2& -1& 4\\ 4& 0& 2\\ 3& -2& 7\end{array}\right]$

Using elementary row operations, find the inverse of the following matrix :

$\mathrm{A}=\left[\begin{array}{ccc}2& -1& 3\\ -5& 3& 1\\ -3& 2& 3\end{array}\right]$