R S Aggarwal Solutions for Exercise 2: EXERCISE

Let $A=\left[\begin{array}{ll}2& 4\\ 3& 2\end{array}\right], B=\left[\begin{array}{cc}1& 3\\ -2& 5\end{array}\right]$ and $C=\left[\begin{array}{cc}-2& 5\\ 3& 4\end{array}\right]$, find $B–4C$.

Let $A=\left[\begin{array}{ll}2& 4\\ 3& 2\end{array}\right],B=\left[\begin{array}{cc}1& 3\\ -2& 5\end{array}\right]$ and $C=\left[\begin{array}{cc}-2& 5\\ 3& 4\end{array}\right]$, find $A–2B+3C$.

If $A=\mathrm{diag}[2,-5,9],B=\mathrm{diag}[-3,7,14]$and $C=\mathrm{diag}[4,-6,3]$, find $B+C–A$.

If $A=\mathrm{diag}[2,-5,9],B=\mathrm{diag}[-3,7,14]$and $C=\mathrm{diag}[4,-6,3]$, find $2A+B-5C.$

Find the values of $x$ and $y,$ when $\left[\begin{array}{cc}2x+5& 7\\ 0& 3y-7\end{array}\right]=\left[\begin{array}{cc}x-3& 7\\ 0& -5\end{array}\right]$.

Find the values of$x$ and $y,$ when $2\left[\begin{array}{cc}x& 5\\ 7& y-3\end{array}\right]+\left[\begin{array}{rr}3& -4\\ 1& 2\end{array}\right]=\left[\begin{array}{rr}7& 6\\ 15& 14\end{array}\right]$.

Find the value of $(x+y)$ from the following equation :

$2\left[\begin{array}{ll}1& 3\\ 0& x\end{array}\right]+\left[\begin{array}{ll}y& 0\\ 1& 2\end{array}\right]=\left[\begin{array}{ll}5& 6\\ 1& 8\end{array}\right]$

If $\left[\begin{array}{cc}x-y& 2y\\ 2y+z& x+y\end{array}\right]=\left[\begin{array}{cc}1& 4\\ 9& 5\end{array}\right]$ then write the value of $(x+y+z).$