Se [m] A = \begin{bmatrix}
4 & -7 \\
2 & 10
\end{bmatrix} [/m], encontre [m] A^2 [/m].

Dada a matriz [m] A = \begin{bmatrix}
12 & 4 \\
-7 & 1 \\
\end{bmatrix} [/m] e [m] B = ( b_{ ij } )_{ 2 \times 2 } [/m] tal que:

[mm] b_{ij} = \begin{cases}
8 & , se \ i = j; \\
2i + j & , se \ i \neq j
\end{cases} [/mm]

Encontre o valor de:
a) [m] A + B [/m]
b) [m] A -2B [/m]
c) [m] A^t + 3B [/m]

Determinar a matriz [m] X [/m] tal que:

[mm] \begin{bmatrix}
-1 & 2 \\
5 & 3
\end{bmatrix} \cdot X = \begin{bmatrix}
-7 \\
9
\end{bmatrix}[/mm]

Encontre a matriz inversa de [m] A = \begin{bmatrix}
1 & 2 \\
6 & 14
\end{bmatrix} [/m].

Dadas as matrizes [m] A = \begin{bmatrix}
3 & 4 & -2 \\
0 & 1 & 2
\end{bmatrix} ; \ B = \begin{bmatrix}
3 & -1 & 2 \\
7 & 1 & 3
\end{bmatrix} [/m] e [m] C = \begin{bmatrix}
4 & 10\\
8 & 2 \\
16 & -2
\end{bmatrix} [/m], determine a matriz resultante:

a) [m] A + B [/m]

b) [m] B + \frac{1}{2} \cdot C ^t [/m]

Dadas as matrizes, [m] A = \begin{bmatrix}
2 & 3 & 4 \\
5 & 6 & 7
\end{bmatrix} [/m] e [m] B= \begin{bmatrix}
9 & 1 & 3 \\
0 & 2 & 4
\end{bmatrix} [/m], encontre a matriz [m] C [/m], tal que: [m] C = A + B [/m]