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Chapter 11: Q. 17 (page 729)

Write the system of equations corresponding to each augmented matrix. Then perform the indicated row operation(s) on the given augmented matrix.

1-3|-22-5|5,R2=-2r1+r2

Short Answer

Expert verified

The resultant matrix is

1-3|-201|9

Step by step solution

01

Step 1. Given Information 

The given matrix and operation is

1-3|-22-5|5,R2=-2r1+r2

02

Step 2. Explanation  

The given matrix has two rows. So, it represents a system of two linear equations. The 2 columns to the left of vertical bar indicate that the system has two variables.

Let the variables be x and y. Then system of linear equation corresponding to the given matrix is as follows,

x-3y=-2---(1)2x-5y=5---(2)

Apply the given row operation on the given augmented matrix and then simplify

role="math" localid="1647334029961" 1-3|-22-5|5鈫�1-3|-2-2(1)+2-2(-3)+(-5)|-2(-2)+5鈫�1-3|-201|9

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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.

3x+2y=2x-7y=-30x=-2,y=4;(-2,4)

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

2x-y=04x+2y=12

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

3x+3y=-14x+y=83

The product of two numbers is 10, and the difference of their squares is 21. Find the numbers.

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

x + 4y - 3z = -8

3x - y + 3z = 12

x + y + 6z = 1
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