Question

2- Determine x, y ez sabendo que:

[ x ] [ y ] [ 15 ]
[ y ] - [ z ] = [ 2 ]
[ z ] [ 0 ] [ 8 ]

x = 5; y = 1 e z = 10

x = 5; y = 10 e z = -8

x = 25; y = 5 e z = -8

x = 25; y = 10 e z = 8

Answer 1

O valor de x, y e z são respectivamente: 25, 10 e  8, quarta alternativa.

A tarefa aborda a subtração de matrizes 3 x 1.

$\left[\begin{array}{ccc}x\\y\\z\end{array}\right] -\left[\begin{array}{ccc}y\\z\\0\end{array}\right] =\left[\begin{array}{ccc}15\\2\\8\end{array}\right]$

Fazendo a subtração temos:

$\left[\begin{array}{ccc}x-y=15\\y-z=2\\z-0=8\end{array}\right]$

• Calculando o valor de z.

$\sf z-0=8\\\\z=8+0\\\\\boxed{\sf z= 8}$

• Calculando o valor de y.

$\sf y-z = 2\\\\y-8=2\\\\y=2+8\\\\\boxed{\sf y =10}$

• Calculando o valor de x.

$\sf x-y = 15\\\\x-10=15\\\\x=15+10\\\\\boxed{\sf x = 25}$

Continue estudando:

brainly.com.br/tarefa/48207232