Chapter 11: Q. 16 (page 729)

Write the augmented matrix of the given system of equations.
$x - y + 2 z - w = 5 x + 3 y - 4 z + 2 w = 2 3 x - y - 5 z - w = - 1$

Short Answer

Expert verified

The augmented matrix of system of equation is

$[\begin{matrix} 1 & - 1 & 2 & - 1 | & 5 \\ 1 & 3 & - 4 & 2 | & 2 \\ 3 & - 1 & - 5 & - 1 | & - 1 \end{matrix}]$

Step by step solution

Step 1. Given Information

The given equations are

$x - y + 2 z - w = 5 x + 3 y - 4 z + 2 w = 2 3 x - y - 5 z - w = - 1$

Step 2. Explanation

For writing an augmented matrix, the variables of each equation in the system of equations must be on the left side of equal sign and constraints on the right side. A variable that does not appear in the equation has coefficient zero. Thus, the augmented matrix of system of equation is as follows,

$[\begin{matrix} 1 & - 1 & 2 & - 1 | & 5 \\ 1 & 3 & - 4 & 2 | & 2 \\ 3 & - 1 & - 5 & - 1 | & - 1 \end{matrix}]$

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Write the augmented matrix of the given system of equations.
$x - y + 2 z - w = 5 x + 3 y - 4 z + 2 w = 2 3 x - y - 5 z - w = - 1$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Explanation

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Write the augmented matrix of the given system of equations.x-y+2z-w=5x+3y-4z+2w=23x-y-5z-w=-1

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Calculus

Probability and Statistics

Theoretical and Mathematical Physics

Decision Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Write the augmented matrix of the given system of equations.
$x - y + 2 z - w = 5 x + 3 y - 4 z + 2 w = 2 3 x - y - 5 z - w = - 1$