Ensino Fundamental

Seja $A =\begin{pmatrix}1 & 2 & 3 \\ 2 & 1 & -1 \\ \end{pmatrix}$ , $B =\begin{pmatrix}-2 & 0 & 1 \\ 3 & 0 & 1 \\ \end{pmatrix}$ , $C = \begin{pmatrix}-1 \\ 2 \\ 4 \\ \end{pmatrix}$ e $D = \begin{pmatrix}2 & -1 \\ \end{pmatrix}$

Encontre:

a) $A+B$

b) $A\cdot C$

c) $B\cdot C$

d) $C\cdot D$

$A = \begin{pmatrix}1 & 2 & 3 \\ 2 & 1 & -1 \\ \end{pmatrix} \;,\; B = \begin{pmatrix}-2 & 0 & 1 \\ 3 & 0 & 1 \\ \end{pmatrix}\;\; ,\;\; C = \begin{pmatrix}-1 \\ 2 \\ 4 \\ \end{pmatrix} \;\; \text{e} \;\; D = \begin{pmatrix}2 & -1 \\ \end{pmatrix}$

a) A + B
$A + B = \begin{pmatrix}1 & 2 & 3 \\ 2 & 1 & -1 \\ \end{pmatrix} + \begin{pmatrix}-2 & 0 & 1 \\ 3 & 0 & 1 \\ \end{pmatrix} = \begin{pmatrix}1-2 & 2+0 & 3+1 \\ 2+3 & 1+0 & -1+1 \\ \end{pmatrix} = \begin{pmatrix}-1 & 2 & 4 \\ 5 & 1 & 0 \\ \end{pmatrix}$

b) A . C
$A . C = \begin{pmatrix}1 & 2 & 3 \\ 2 & 1 & -1 \\ \end{pmatrix} . \begin{pmatrix}-1 \\ 2 \\ 4 \\ \end{pmatrix} = \begin{pmatrix}1.(-1) + 2.2 + 3.4 \\ 2.(-1) + 1.2 + (-1).4 \\ \end{pmatrix} = \begin{pmatrix}-1 + 4 + 12 \\ -2 + 2 + -4 \\ \end{pmatrix} = \begin{pmatrix} 15 \\ -4 \\ \end{pmatrix}$

c) B . C
$B . C = \begin{pmatrix}-2 & 0 & 1 \\ 3 & 0 & 1 \\ \end{pmatrix} . \begin{pmatrix}-1 \\ 2 \\ 4 \\ \end{pmatrix} = \begin{pmatrix}(-2).(-1) + 0.2 + 1.4 \\ 3.(-1) + 0.2 + 1.4 \\ \end{pmatrix} = \begin{pmatrix} 2+0+4 \\ -3 + 0 + 4 \\ \end{pmatrix} = \begin{pmatrix} 6 \\ 1\\ \end{pmatrix}$

d) C . D
$C . D = \begin{pmatrix}-1 \\ 2 \\ 4 \\ \end{pmatrix} . \begin{pmatrix}2 \;-1 \\ \end{pmatrix} = \begin{pmatrix} (-1).2 + (-1).(-1) \\ 2.2 + 2.(-1) \\ 4.2 + 4(-1) \\ \end{pmatrix} = \begin{pmatrix} -2 + 1 \\ 4-2 \\ 8-4 \\ \end{pmatrix} = \begin{pmatrix}-1 \\ 2 \\ 4 \\ \end{pmatrix}$

Ensino Fundamental ⇒ Matriz

Matriz

Re: Matriz

Ensino Fundamental ⇒ Matriz

Matriz

Re: Matriz

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