Question

Dadas as matrizes
A= $\left[\begin{array}{ccc}1&-1\\2&-2\\\end{array}\right]$

B= $\left[\begin{array}{ccc}0&3\\-3&2\\\end{array}\right]$

C= $\left[\begin{array}{ccc}0&9\\5&10\\\end{array}\right]$
Calcule AB + AC

Explicadinho, por favor <3

Answer 1

$Ola'~~~\mathbb{LETICIA} \\ \\ A.B+AC \\ \\ \begin{bmatrix}1&-1 \\ 2&-2\end{bmatrix}.\begin{bmatrix}0&3 \\ -3&2\end{bmatrix}+\begin{bmatrix}1&-1 \\ 2&-2\end{bmatrix}.\begin{bmatrix}0&9 \\ 5&10\end{bmatrix} \\ \\ \\ \begin{bmatrix}1(0)-1(-3)&1(3)-1(2) \\ 2(0)-2(-3)&2(3)-2(2)\end{bmatrix}+\begin{bmatrix}1(0)-1(5)&1(9)-1(10) \\ 2(0)-2(5)&2(9)-2(10)\end{bmatrix} \\ \\ \\~~~~~~~~~~~~~~~~~~~~~~~~~ \begin{bmatrix}3&1 \\ 6&2\end{bmatrix}~~+~~~~\begin{bmatrix}-5&-1 \\ -10&-2\end{bmatrix}$

$\\ A.B+A.C=\begin{bmatrix}3-5&1-1 \\ 6-10&2-2\end{bmatrix} \\ \\ \\ \boxed{\boxed{A.B+A.C=\begin{bmatrix}-2&0 \\ -4&0\end{bmatrix}}}\\ \\ \\ \mathbb{iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Espero~ter~ajudado!!$