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

Step 1. Given

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

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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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

Step by step solution

Step 1. Given

Step 2. Calculation

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Write the system of equations corresponding to theaugmented matrix:324-61082-213-11

Short Answer

Step by step solution

Step 1. Given

Step 2. Calculation

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Applied Mathematics

Decision Maths

Geometry

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Study anywhere. Anytime. Across all devices.

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