/*! 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. 19 In Problems 17鈥�19, find the in... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q. 19 (page 793)

In Problems 17鈥�19, find the inverse, if there is one, of each matrix. If there is not an inverse, say that the matrix is singular.

4-8-12

Short Answer

Expert verified

The matrix 4-8-12is singular.

Step by step solution

01

Step 1. Given information

The given matrix is4-8-12

02

Step 2. Find the inverse of the matrix.

[A鈭�I2]=4鈭�810鈭�1201

Transform the matrix [A鈭�I2]into reduced row echelon form.

Perform the operations R1=14R1and then R2=R2+R1,

4鈭�810鈭�1201鈫�1鈭�2140鈭�1201鈫�1鈭�214000141

Now, we can see that the reduced matrix cannot contain the identity matrix on the left of the vertical bar.

So, the given matrix is singular and its inverse does not exist.

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

The Tortoise and the Hare: In a 21-meter race between a tortoise and a hare, the tortoise leaves 9 minutes before the hare. The hare, by running at an average speed of 0.5 meter per hour faster than the tortoise, crosses the finish line 3minutes before the tortoise. What are the average speeds of the tortoise and the hare?

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

4x+5y=-3-2y=-8

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

x-2y+3z=72x+y+z=4-3x+2y-2z=-10

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

x2=y;xy=1

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

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Decision 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.