Matrices Test -...

If $$A=[x,y],  B=\left[\begin{array}{ll}
a & h\\
h & b
\end{array}\right],  C=\left[\begin{array}{l}
x\\
y
\end{array}\right]$$,
then $$\mathrm{A}\mathrm{B}\mathrm{C}=$$

If $$A=\begin{bmatrix} -1 & 0 \\ 0 & 2 \end{bmatrix} $$, then $$ A^{3}-A^{2}=$$

If the transpose of a matrix is equal to the additive
inverse, then matrix is called _________
matrix.

$$[A]_{n\times m}, [B]_{m\times m},$$ are the two matrices. If multiplication AB exist, then

If $$A=\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}$$, then $$A^{4}=$$

If $$I = \begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix},$$ then find $$I^3$$

If $$A= \begin{bmatrix}
1 & 2 & 3\\
4 & 5 & 6
\end{bmatrix}$$ and $$B= \begin{bmatrix}
1\\
0\\

5\end{bmatrix},$$ then $$AB = $$

If $$A = \begin{bmatrix}a & b\end{bmatrix},\space B = \begin{bmatrix}-b & -a \end{bmatrix}$$ and $$C = \begin{bmatrix}a \\ -a\end{bmatrix}$$, then the correct statement is

If $$\displaystyle A = \begin{bmatrix} 1 & -2 & 4 \\ 2 & 3 & 2 \\ 3 & 1 & 5 \end{bmatrix}$$ and $$\displaystyle B = \begin{bmatrix} 0 & -2 & 4 \\ 1 & 3 & 2 \\ -1 & 1 & 5 \end{bmatrix}$$, then $$A + B$$ is

If $$A = \begin{bmatrix}2 & 3 & 4 \\ -3 & 4 & 8\end{bmatrix},$$ $$B = \begin{bmatrix}-1 & 4 & 7 \\ -3 & -2 & 5\end{bmatrix}$$ and $$ A+B = \begin{bmatrix}1 & a & b \\ c & 2 & 13\end{bmatrix},$$ then find the value of $$a+b+c.$$