Question

determine: 2. (A – C) + 3.B

Answer 1

Resposta:

Explicação passo-a-passo:

$\begin{vmatrix}2~~1\\ 3~~2\end{vmatrix}- ~\begin{vmatrix}2~~0\\ 4~-6\end{vmatrix}+ ~3\begin{vmatrix}1~~5\\2~-5 \end{vmatrix}\\\\ \begin{vmatrix}0~~~1\\ -1~~8\end{vmatrix}+~\begin{vmatrix}3~~15\\ 6~-5\end{vmatrix}\\\\\boxed{\begin{vmatrix}3~~ 16\\5~~3 \end{vmatrix}}$

Answer 2

Resposta:

Explicação passo-a-passo:

Assunto: Operações com Matrizes

2.(a-c) + 3b

A =

[2 1]

[3 2]

C =

[2 0]

[4 - 6]

A - C

[2-2 1-0]

[3-4 2-(-6)]

=

[0 1]

[-1 8]

2 x (A-C)

[2.0 2.1]

[2.(-1) 2.8]

=

[0 2]

[-2 16]

(I)

B=

[1 5]

[2 -2]

3.B

3.1 3.5

3.2 3.(-2)

[3 15]

[6 -6]

(II)

Somar: (I) + (II)

[0 2]

[-2 16]

(+)

[3 15]

[6 -6]

[0+3 2+15]

[-2+6 16-6]

[3 17]

[4 10]

R.:

=

[3 17]

[4 10]