Question

URGENTE! Por favor!!!

Determine as matrizes X e Y de modo que:
a) X = (A − 2B)
b) Y = 3A + 2C

Answer 1

Explicação passo a passo:

a)

$-2B=\begin{pmatrix}-4&-8&12\\ -2&0&-4\end{pmatrix}$

$X = A-2B\\ \\ X=\begin{pmatrix}1-4&-2-8&3+12\\ 4-2&0-0&5-4\end{pmatrix}\\ \\ \\ X=\begin{pmatrix}-3&-10&15\\ 2&0&1\end{pmatrix}$

========================================

b)

$C^t=\begin{pmatrix}1&4&6\\ 2&3&6\end{pmatrix}$

$3A=\begin{pmatrix}3&-6&9\\ 12&0&15\end{pmatrix}$

$2C^t=\begin{pmatrix}2&8&12\\ 4&6&12\end{pmatrix}$

$Y=3A+2C^t\\ \\ Y=\begin{pmatrix}3+2&-6+8&9+12\\ 12+4&0+6&15+12\end{pmatrix}\\ \\ \\ Y=\begin{pmatrix}5&2&21\\ 16&6&27\end{pmatrix}$