Chapter 11: Q. 12 (page 793)

Write the system of equations corresponding to the given augmented matrix.
$[\begin{array}{rrrr} 1 & 2 & 5 & - 2 \\ 5 & 0 & - 3 & 8 \\ 2 & - 1 & 0 & 0 \end{array}]$

Short Answer

Expert verified

The system of equations is $\{\begin{aligned} x + 2 y + 5 z & = - 2 \\ 5 x - 3 z & = 8 \\ 2 x - y & = 0 \end{aligned}$

Step by step solution

Step 1. Given information

The given augmented matrix is $[\begin{array}{rrrr} 1 & 2 & 5 & - 2 \\ 5 & 0 & - 3 & 8 \\ 2 & - 1 & 0 & 0 \end{array}]$

Step 2. Convert augmented matrix into the system of equations.

If the two variables are $x$ and $y$ , then the system of equations is

$\{\begin{aligned} x + 2 y + 5 z & = - 2 \\ 5 x - 3 z & = 8 \\ 2 x - y & = 0 \end{aligned}$

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Write the system of equations corresponding to the given augmented matrix.
$[\begin{array}{rrrr} 1 & 2 & 5 & - 2 \\ 5 & 0 & - 3 & 8 \\ 2 & - 1 & 0 & 0 \end{array}]$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Convert augmented matrix into the system of equations.

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Write the system of equations corresponding to the given augmented matrix.125−250−382−100

Short Answer

Step by step solution

Step 1. Given information

Step 2. Convert augmented matrix into the system of equations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Applied Mathematics

Study anywhere. Anytime. Across all devices.

Write the system of equations corresponding to the given augmented matrix.
$[\begin{array}{rrrr} 1 & 2 & 5 & - 2 \\ 5 & 0 & - 3 & 8 \\ 2 & - 1 & 0 & 0 \end{array}]$