Addition of Matrices

Q.

If $A=\left[\begin{array}{ccc}2& 3& 4\\ 0& -1& -2\end{array}\right],B=\left[\begin{array}{ccc}0& -2& -7\\ 3& -1& 5\end{array}\right]\text{and}C=\left[\begin{array}{ccc}1& -1& 0\\ 2& 0& -6\end{array}\right]$
Find a matrix X sucn that C+X=A+B

1. $\left[\begin{array}{ccc}1& 2& -3\\ 1& -2& 9\end{array}\right]$

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

3. $\left[\begin{array}{ccc}1& 2& 4\\ 1& 0& 9\end{array}\right]$

4. $\left[\begin{array}{ccc}1& 2& 3\\ 1& 2& 9\end{array}\right]$

Q.

If $A=\left[\begin{array}{ccc}2& -3& 9\end{array}\right],B=\left[\begin{array}{ccc}0& -1& 2\end{array}\right]\text{and}C=\left[\begin{array}{ccc}-2& -8& 6\end{array}\right]$, find A+B-C

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

2. $\left[\begin{array}{ccc}4& 4& 5\end{array}\right]$

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

4. $\left[\begin{array}{ccc}4& 4& -5\end{array}\right]$

Q.

If $A=\left(\begin{array}{cc}-6& -1\\ 9& 1\end{array}\right)B=\left(\begin{array}{cc}2& 0\\ -3& 5\end{array}\right)$ and $C=\left(\begin{array}{cc}-1& 8\\ 7& -7\end{array}\right)$
Find A-B+C

1. $\left(\begin{array}{cc}-9& 7\\ 19& -11\end{array}\right)$

2. $\left(\begin{array}{cc}7& 11\\ -9& -11\end{array}\right)$

3. $\left(\begin{array}{cc}7& -11\\ 9& 19\end{array}\right)$

4. $\left(\begin{array}{cc}9& 7\\ 19& 11\end{array}\right)$

Q. If $A=\left[\begin{array}{ccc}4& 1& 0\\ 1& -2& 2\end{array}\right],B=\left[\begin{array}{ccc}2& 0& -1\\ 3& 1& 4\end{array}\right],C=\left[\begin{array}{c}1\\ 2\\ -1\end{array}\right]$ and $(3B-2A)C+2X=0$ then $X=$

1. $\frac{1}{2}\left[\begin{array}{c}-3\\ 13\end{array}\right]$
2. $\frac{1}{2}\left[\begin{array}{c}3\\ -13\end{array}\right]$
3. $\frac{1}{2}\left[\begin{array}{c}3\\ 13\end{array}\right]$
4. $\left[\begin{array}{c}3\\ -13\end{array}\right]$

Q. If $A^{\prime }=\left[\begin{array}{cc}-2& 3\\ 1& 2\end{array}\right],B=\left[\begin{array}{cc}-1& 0\\ 1& 2\end{array}\right]$ Find $[A+2B]$

Q.

Given $A=\left[\begin{array}{cc}3& 1\\ -2& 1\end{array}\right]\text{and}B=\left[\begin{array}{cc}4& -3\\ 2& -1\end{array}\right]$

Find A+B-2l where l is a $2\times 2$ unit matrix

1. $\left[\begin{array}{cc}1& 0\\ 0& 1\end{array}\right]$

2. $\left[\begin{array}{cc}1& 1\\ 0& 0\end{array}\right]$

3. $\left[\begin{array}{cc}5& -2\\ 0& -2\end{array}\right]$

4. $\left[\begin{array}{cc}5& 2\\ 0& 2\end{array}\right]$