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Chapter 11: Q. 54 (page 756)

In Problems 41鈥� 60, use the inverses found in Problems 31鈥�40 to solve each system of equations

x+2z=6-x+2y+3z=-5x-y=6

Short Answer

Expert verified

The solution of the matrix isx=4,y=-2andz=1.

Step by step solution

01

Step 1. Given information 

A matrix is given as,

x+2z=6-x+2y+3z=-5x-y=6

We need to find the solution of the matrix using inverse of the matrix.

02

Step 2. Inverse of the matrix. 

The inverse of the matrix is

A-1=3-2-43-2-5-112

03

Step 3. Solution of the matrix 

We know,

X=A-1B

Therefore,

X=3-2-43-2-5-1126-56=3(6)-2(-5)-4(6)3(6)-2(-5)-5(6)-1(6)+1(-5)+2(6)xyz=4-21

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Most popular questions from this chapter

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

The altitude of an isosceles triangle drawn to its base is 3cm, and its perimeter is 18cm. Find the length of its base.

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

x-y=62x-3z=162y+z=4

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

x + 2y - z = -3

2x - 4y + z = -7

-2x + 2y - 3z = 4

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

x-y-z=1-x+2y-3z=-43x-2y-7z=0
See all solutions

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