Embibe Experts Solutions for Exercise 1: EXERCISE

If $\left[m n\right]\left[\begin{array}{c}m\\ n\end{array}\right]=\left[25\right]$and $m<n$ and $m,n\in I^{+},$ then $\left(m,n\right)=$

If $A=\left[\begin{array}{cc}i& 0\\ 0& -i\end{array}\right],B=\left[\begin{array}{cc}0& i\\ i& 0\end{array}\right],$ where $i=\sqrt{-1},$ then the correct relation is 

If $A=\left[\begin{array}{ccc}1& 3& 0\\ -1& 2& 1\\ 0& 0& 2\end{array}\right],B=\left[\begin{array}{ccc}2& 3& 4\\ 1& 2& 3\\ -1& 1& 2\end{array}\right],$then $AB=$

If $A=\left[\begin{array}{cc}0& 2\\ 3& -4\end{array}\right]$ and $kA=\left[\begin{array}{cc}0& 3a\\ 2b& 24\end{array}\right],$ then the values of $k,a,b$ are respectively 

which is true about matrix multiplication?

If $A=\left(\begin{array}{cc}2& -1\\ -1& 2\end{array}\right)$ and $l$ is the unit matrix of order $2,$ then $A^2$ equals 

If $P=\left(\begin{array}{ccc}i& 0& -i\\ 0& -i& i\\ -i& i& 0\end{array}\right)$ and $Q=\left(\begin{array}{cc}-i& i\\ 0& 0\\ i& -i\end{array}\right)$, then $PQ$ is equal to 

If $A=\left[\begin{array}{cc}1& -2\\ 3& 0\end{array}\right],B=\left[\begin{array}{cc}-1& 4\\ 2& 3\end{array}\right],C=\left[\begin{array}{cc}0& -1\\ 1& 0\end{array}\right],$ then $5A-3B-2C=$