/*! 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} Q18. Determine whether each statement... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q18. (page 199)

Determine whether each statement is true or false.

18. Some square matrices do not have multiplicative inverses.

Short Answer

Expert verified

The given statement is true.

Step by step solution

01

­- Definition of square matrix.

A square matrix is a matrix in which number of rows is equal to number of columns.

02

­- Definition of inverse of matrix.

A matrixB is said to be an inverse of the matrix AifAB=BA=Iwhere I is an identity matrix of the same order as that of matrix Aor B.

03

­- Description of step.

A square matrixA does not have its inverse if .|A|=0

A square matrixA have its inverse if .|A|鈮�0

Therefore, if the determinant of the matrix is zero then the matrix will not have a multiplicative inverse.

Therefore, some square matrices which have their value of determinant as zero do not have multiplicative inverse.

04

­- State whether the given statement is true or false.

The given statement is true.

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

Solve each system of equations.

3a+2b=275a-7b+c=5-2a+10b+5c=-29

Use matricesA, B, Cand Dto find the following.

A=57鈭�163鈭�9,鈥夆赌�B=835144,鈥夆赌�C=04鈭�257鈭�1,鈥夆赌�D=6290鈭�30

29. C+13D

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.

23.51201213鈭�1+4鈭�234116058

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.

1.355.801.2414.326.1035.26+0.453.281.9416.724.3121.30

Solve each system of equations.

3r-15s+4t=-579r+45s-t=26-6r+10s+3t=-19
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Geometry

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.