Question

17 - resolva o sistema escalonado a seguir
\\(\

$$\begin{cases} x + y + 2z = 12 \\\\ y + 2z = 7 \\\\ 4z = 10 \\end{cases}$$

\\)
a) (4, 3, 4)
b) (5, 2, 4)
c) (3, 4, 4)
d) (2, 5, 4)
e) (1, 8, 4)

18 - observe a matriz de ordem 3 abaixo e encontre o determinante da matriz a
\\(a = \

$$\begin{bmatrix} 1 & 2 & 0 \\\\ 0 & -2 & -1 \\\\ 1 & 2 & 3 \\end{bmatrix}$$

\\)
a) -1
b) -2
c) -3
d) -6

Explanation:

Resolver o sistema escalonado para encontrar \(z\), \(y\) e \(x\)

$$
LATEXBLOCK0
$$

$$ (x, y, z) = (5, -1, 4) $$

Calcular o determinante da matriz \(A\) de ordem 3

$$ A =
LATEXBLOCK1
$$

$$
LATEXBLOCK2
$$

Answer:

Question 17

• a) \((4, 3, 4)\)
• b) \((5, -1, 4)\) (Correct answer)
• c) \((3, 4, 4)\)
• d) \((2, 5, 4)\)
• e) \((1, 6, 4)\)

Question 18

• a) \(-1\)
• b) \(-2\)
• c) \(-3\)
• d) \(-6\) (Correct answer)