Chapter 4: Q. 378 (page 482)

Write the system of equations that corresponds to the augmented matrix.
$[\begin{matrix} 2 & - 4 & - 2 \\ 3 & - 3 & - 1 \end{matrix}]$

Short Answer

Expert verified

For the given augmented matrix $[\begin{matrix} 2 & - 4 & - 2 \\ 3 & - 3 & - 1 \end{matrix}]$ , the system of equations is $\{\begin{cases} 2 x - 4 y = - 2 \\ 3 x - 3 y = - 1 \end{cases}$ .

Step by step solution

Step 1. Given Information

Consider the augmented matrix $[\begin{matrix} 2 & - 4 & - 2 \\ 3 & - 3 & - 1 \end{matrix}]$ .

We need to find the corresponding system of equations.

Step 2. Write the system of equations

We remember that each row corresponds to an equation and that each entry is a coefficient of a variable or the constant. The vertical line replaces the equal sign. Since this matrix is a $3 \times 2$ , we know it will translate into a system of two equations with two variables. Thus the corresponding system of equations is

$[\begin{matrix} 2 & - 4 & - 2 \\ 3 & - 3 & - 1 \end{matrix}] \to \{\begin{cases} 2 x - 4 y = - 2 \\ 3 x - 3 y = - 1 \end{cases}$

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Write the system of equations that corresponds to the augmented matrix.
$[\begin{matrix} 2 & - 4 & - 2 \\ 3 & - 3 & - 1 \end{matrix}]$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Write the system of equations

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Write the system of equations that corresponds to the augmented matrix.2-4-23-3-1

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Write the system of equations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

Calculus

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Applied Mathematics

Study anywhere. Anytime. Across all devices.

Write the system of equations that corresponds to the augmented matrix.
$[\begin{matrix} 2 & - 4 & - 2 \\ 3 & - 3 & - 1 \end{matrix}]$