Question

Sendo
3 2
A= -1 0
8 10

2 2
B= 3 3
4 4

C= 1 1
3 4
0 8
determine a matriz X. tal que

a) X = A + B
b) X = A-C
(c) X=A-B-C
(d) X=B-A​

Answer 1

Explicação passo-a-passo:

a)

X = A + B

$X= \begin{bmatrix}3+2&2+2\\ -1+3&0+3\\ 8+4&10+4\end{bmatrix} = \begin{bmatrix}5&4\\ 2&3\\ 12&14\end{bmatrix}$

b)

X = A-C

$X= \begin{bmatrix}3-1&2-1\\ -1-3&0-4\\ 8-0&10-8\end{bmatrix}$

$X= \begin{bmatrix}2&1\\ -4&-4\\ 8&2\end{bmatrix}$

c)

X=A-B-C

$X= \begin{bmatrix}3-2-1&2-2-1\\ -1-3-3&0-3-4\\ 8-4-0&10-4-8\end{bmatrix} =&&\begin{bmatrix}0&-1\\ -7&-7\\ 4&-2\end{bmatrix}$

d)

X=B-A​

$X= \begin{bmatrix}2-3&2-2\\ 3+1&3-0\\ 4-8&4-10\end{bmatrix} = \begin{bmatrix}-1&0\\ 4&3\\ -4&-6\end{bmatrix}$