Matrices Test -...

If $$A=\begin{bmatrix} 1 & 1 \\ 1 & 1 \end{bmatrix}$$ then $$A^{100}$$=..............

iF $$A=\begin{bmatrix}  1&  -1\\  -1&  1\end{bmatrix}$$, then the expression $$A^3-2A^2$$ is 

If $$A=\begin{bmatrix} 1&2 \\ 2 &3\\3 & 4\end{bmatrix}$$ and $$B=\begin{bmatrix} 1 &  2\\ 2 &  1\end{bmatrix},$$ then which one of the following is correct?

lf $$\left[\begin{array}{ll}
x & 1\\
1 & y
\end{array}\right]\left[\begin{array}{ll}
1 & 4\\
2 & 6
\end{array}\right] =\left[\begin{array}{ll}
4 & 14\\
7 & 22
\end{array}\right]$$, then $$(x,y)$$$$=$$

If $$D_{1}$$ and $$D_{2}$$ are two 3 x 3 diagonal matrices, then 

$$\left[\begin{array}{lll}
x & 0 & 0\\
y & \mathrm{z} & 0\\
l & m & n
\end{array}\right]\left[\begin{array}{lll}
a & 0 & 0\\
0 & b & 0\\
0 & 0 & c
\end{array}\right] =$$

$$A=\begin{bmatrix} 3 & -4 \\ 1 & -1 \end{bmatrix}$$, then $$A^{2}=$$

If $$\mathrm{A}= \left[\begin{array}{lll}
2 & 0 & 0\\
0 & 2 & 0\\
0 & 0 & 2
\end{array}\right]$$, then $$\mathrm{A}^{4}$$ is equal to 

If $$A=\begin{bmatrix} a & b \\ b & a \end{bmatrix}$$ and $${ A }^{ 2 }=\begin{bmatrix} \alpha  & \beta  \\ \beta  & \alpha  \end{bmatrix}$$, then

If $$A=[a_{ij}]_{3\times 3}$$ is a square matrix so that $$a_{ij}=i^{2}-j^{2}$$, then $$A$$ is a