Chapter 4: Q. 377 (page 482)

Write each system of linear equations as an augmented matrix.
$\{\begin{cases} 4 x + 3 y = - 2 \\ x - 2 y - 3 z = 7 \\ 2 x - y + 2 z = - 6 \end{cases}$

Short Answer

Expert verified

For the given system of equations $\{\begin{cases} 4 x + 3 y = - 2 \\ x - 2 y - 3 z = 7 \\ 2 x - y + 2 z = - 6 \end{cases}$ , the augmented matrix is given as $[\begin{array}{r} 4 & 3 & 0 & - 2 \\ 1 & - 2 & - 3 & 7 \\ 2 & - 1 & 2 & - 6 \end{array}]$ .

Step by step solution

Step 1. Given Information

Consider the system of equations $\{\begin{cases} 4 x + 3 y = - 2 \\ x - 2 y - 3 z = 7 \\ 2 x - y + 2 z = - 6 \end{cases}$

The objective is to write the system of equations as an augmented matrix.

Step 2. Write augmented matrix

In the augmented matrix, the first equation gives us the first row, the second equation gives us the second row, and the third equation gives us the third row. The vertical line replaces the equal signs. So for the given system, the augmented matrix is

$[\begin{array}{r} 4 & 3 & 0 & - 2 \\ 1 & - 2 & - 3 & 7 \\ 2 & - 1 & 2 & - 6 \end{array}]$

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Write each system of linear equations as an augmented matrix.
$\{\begin{cases} 4 x + 3 y = - 2 \\ x - 2 y - 3 z = 7 \\ 2 x - y + 2 z = - 6 \end{cases}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Write augmented matrix

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Write each system of linear equations as an augmented matrix. 4x+3y=-2x-2y-3z=72x-y+2z=-6

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Write augmented matrix

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Decision Maths

Pure Maths

Discrete Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Write each system of linear equations as an augmented matrix.
$\{\begin{cases} 4 x + 3 y = - 2 \\ x - 2 y - 3 z = 7 \\ 2 x - y + 2 z = - 6 \end{cases}$