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Chapter 11: Q. 15 (page 729)

Write the augmented matrix of the given system of equations.

x-y-z=102x+y+2z=-1-3x+4y=54x-5y+z=0

Short Answer

Expert verified

The augmented matrix of system of equation is

1-1-1|10212|-1-340|54-51|0

Step by step solution

01

Step 1. Given Information

The given equations are

x-y-z=102x+y+2z=-1-3x+4y=54x-5y+z=0

02

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,

1-1-1|10212|-1-340|54-51|0

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Most popular questions from this chapter

Verify that the values of the variables listed are solutions of the system of equations.

x-y=312x+y=3x=4,y=1;4,1

Solve each system of equations. If the system has no solution, say that it is inconsistent.

2x+4y=233x-5y=-1

Graph each inequality by hand.

x2+y2鈮�9

Verify that the values of the variables listed are solutions of the system of equations.

3x-4y=412x-3y=-12x=2,y=12;2,12

Verify that the values of the variables listed are solutions of the system of equations.

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