/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 56 In Problems 41鈥� 60, use the in... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q. 56 (page 756)

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

x+2z=2-x+2y+3z=-32x-y=2

Short Answer

Expert verified

The solution of the matrix isx=1,y=-1andz=12.

Step by step solution

01

Step 1. Given Information

A matrix is given as

x+2z=2-x+2y+3z=-32x-y=2

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

02

Step 2. Inverse of a 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-1BX=3-2-43-2-5-1122-322=3(2)-2-32-4(2)3(2)-2-32-5(2)-1(2)+1-32+2(2)xyz=1-112

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Problems 35鈥�42, graph each system of inequalities by hand.

x2+y2鈮�9x+y鈮�3

In Problems, use the division algorithm to rewrite each improper fraction as the sum of a quotient and proper fraction. Find the partial fraction decomposition of the proper fraction. Finally, express the improper fraction as the sum of a quotient and the partial fraction decomposition.

x4+x3-x+2x2-2x+1

Graph each inequality by hand.

x2+y2鈮�9

The difference of two numbers is the same as their product, and the sum of their reciprocals is 5. Find the numbers.

An area of 52feet2is to be enclosed by two squares whose sides are in the ratio of2:3. Find the sides of the squares.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.