Amit M Agarwal Solutions for Chapter: Matrix, Exercise 2: Work Book Exercise 1.2

If $A$ is $3\times 4$ matrix and $B$ is a matrix such that $A^{\text{'}}B$ and $B{A}^{\text{'}}$ are both defined. Then, $B$ is of the order

If $A$ is a $3\times 3$ skew-symmetric matrix, then trace of $A$ is equal to

If $A$ and $B$ are two $n\times n$ non-singular matrices, then 

If $AB=A$ and $BA=B$, then $B^2$ is equal to

The matrix $A=\left[\begin{array}{ccc}1& 1& 3\\ 5& 2& 6\\ -2& -1& -3\end{array}\right]$ is

In which of the following type of matrix there always exists an inverse?

If a $3\times 3$ non-singular matrix $A$ has its inverse equal to $A$, then $A^2$ is equal to

The inverse of a symmetric matrix is