Matrices Test -...

The  matrix equation satisfied by $$A$$ is ______$$, $$ if $$A=\begin{bmatrix} 1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1 \end{bmatrix}.$$ 

If $$A = \begin{bmatrix}3&-3&4\\2&-3&4\\0&-1&1\end{bmatrix}$$ and $$B = \begin{bmatrix}3&1&2\\2&0&5\\1&2&0\end{bmatrix}$$, find $$AB$$.

$$\left[ \begin{matrix} 1 & 0 & 2 \\ -1 & 1 & -2 \\ 0 & 2 & 1 \end{matrix} \right] +\left[ \begin{matrix} 5 & 1& -2 \\ 1 & 1 & 0 \\ -2 & -2 & 1 \end{matrix} \right] \ $$

If $$A=\begin{bmatrix} 1 & 0 \\ \frac { 1 }{ 2 }  & 1 \end{bmatrix}$$, then $$A^{100}$$ is equal to

If$$A=\begin{bmatrix}1&3\\2&4\end{bmatrix}$$ and $$B=\begin{bmatrix}4&7\\5&6\end{bmatrix},$$ then $$AB=$$

If $$A=\begin{bmatrix} 2 & 5 & -3 \\ -1 & 3 & 1 \\ 4 & 1 & 2 \end{bmatrix}$$ then $${A}^{2}$$ is

If the graph of $$y = f(x)$$ is symmetrical about the lines $$x = 1$$ and $$x = 2$$, then which of the following is true?

Find the inverse of the following matrix.

If $$A$$ and $$B$$ are two non-singular matrices and both are symmetric and commute each other, then