Question

dadas as matrizes
D= 4 0 1
-2 3 0

G= 2 3
5 1
0 -2
Calcule a matriz M, tal que M = 3D x 4G​

Answer 1

Resposta:

M =  $\left[\begin{array}{ccc}96&120\\132&-36\\\end{array}\right]$

Explicação passo-a-passo:

Enunciado:

dadas as matrizes

D= 4 0 1                 G=  2    3

   -2 3 0                       5    1

                                    0  - 2

Calcule a matriz M, tal que M = 3D x 4G​

Resolução:

Começar por multiplicar cada matriz pela constante fora dela

$3*\left[\begin{array}{ccc}4&0&1\\-2&3&0\\\end{array}\right]=\left[\begin{array}{ccc}12&0&3\\-6&9&0\\\end{array}\right]$

$4*\left[\begin{array}{ccc}2&3\\5&1\\0&-2\end{array}\right] =\left[\begin{array}{ccc}8&12\\20&4\\0&-8\end{array}\right]$  

$\left[\begin{array}{ccc}12&0&3\\-6&9&0\\\end{array}\right]$ * $\left[\begin{array}{ccc}8&12\\20&4\\0&-8\end{array}\right]$  =  

$\left[\begin{array}{ccc}12*8+0*20+3*0&12*12+0*4+3*(-8)\\-6*8+9*20+0*0&-6*12+9*4+0*(-8)\\\end{array}\right]$

M =  $\left[\begin{array}{ccc}96&120\\132&-36\\\end{array}\right]$

Bom estudo.

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Sinais: ( * ) multiplicação