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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 11: Q. 6 (page 795)

Write the system of equations corresponding to the
augmented matrix:
$[\begin{matrix} 3 & 2 & 4 & - 6 \\ 1 & 0 & 8 & 2 \\ - 2 & 1 & 3 & - 11 \end{matrix}]$

Short Answer

Expert verified

The system of equation from the augmented matrix will be

$3 x + 2 y + 4 z = - 6 x + 8 z = 2 - 2 x + y + 3 z = - 11$

Step by step solution

01

Step 1. Given

$[\begin{matrix} 3 & 2 & 4 & - 6 \\ 1 & 0 & 8 & 2 \\ - 2 & 1 & 3 & - 11 \end{matrix}]$

02

Step 2. Calculation

In an augmented matrix all part of varies are written on left side and constant on right side.

$3 x + 2 y + 4 z = - 6 x + 8 z = 2 - 2 x + y + 3 z = - 11$

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Most popular questions from this chapter

Graph each inequality by hand.

$3 x + 2 y 鈮� 6$

The perimeter of a rectangle is $16$ inches, and its area is $15 i n c h e s^{2}$ . What are its dimensions?

The ratio of a to b is $4 : 3$ . The sum of a and b is $14$ . What is the ratio of $a - b$ to $a + b$ ?

Solve each system of equations. If the system has no solution, say that it is inconsistent.

$\{\begin{matrix} 2 x + y = 1 \\ 4 x + 2 y = 3 \end{matrix}$

Verify that the values of the variables listed are solutions of the system of equations.

$\{\begin{matrix} \begin{array}{rcl} 3 x + 3 y + 2 z & = & 4 \\ x - y - z & = & 0 \end{array} \\ 2 y - 3 z = - 8 \end{matrix} x = 1, y = - 1, z = 2; (1, - 1, 2)$

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