/*! 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} Q8E Use Gaussian elimination to find... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q8E (page 289)

Use Gaussian elimination to find the determinant of the matrices A in Exercises 1 through 10.

8. [0000210003010040010500016]

Short Answer

Expert verified

Therefore, the determinant of given matrix is given by,

detA=2

Step by step solution

01

Definition

Gaussian elimination method is used to solve a system of linear equations.


Gaussian elimination provides a relatively efficient way of constructing the inverse to a matrix.


Interchanging two rows. Multiplying a row by a constant (any constant which is not zero).

02

Given

Given Matrix,

A1=0000210003010040010500016

03

To find determinant by using Gaussian Eliminations

We do row interchanges in the following order: first and second row, second and third row, third and fourth row, fourth and fifth row.

Eventually, we get the matrix

A1=0000310004001050001600002

We had two row interchanges, so

detA=-14.1.1.1.1.2detA=2

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

Demonstrate Theorem 6.3.6 for linearly dependent vectorv鈬赌1,....,v鈬赌m.

Ifu鈫�,v鈫�,w鈫�are three unit vectors in鈩�3, what are the possible values ofdet[u鈫�v鈫�w鈫�]?

Use Exercise 31 to find

det[1111112345149162518276412511681256625]

Do not use technology.

If all the entries of an invertible matrixA are integers, then the entries of A-1must be integers as well.

What is the area of the largest ellipse you can inscribe into a triangle with side lengths 3,4 , and 5 ? Hint: The largest ellipse you can inscribe into an equilateral triangle is a circle.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

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.