/*! 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} Q40E There exists a real 3脳3聽matrix... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q40E (page 309)

There exists a real 3脳3matrix Asuch thatA2=-l3.

Short Answer

Expert verified

Therefore,can't have all real integers.

So, the given statement is false.

Step by step solution

01

Matrix Definition

Matrix is aset of numbers arranged in rows and columns so as to form a rectangular array.

The numbers are called the elements, or entries, of the matrix.

If there are m rows and n columns, the matrix is said to be an 鈥渕 by n鈥� matrix, written "m脳n"

02

To check whether the given condition is true or fals

If a 3脳3matrix Ais such thatA2=-l3, then

-1=det-l3-1=detA2-1=detA2.

Thus, localid="1662203872135" detA=+i,

So, can't have all real integers. So, the given statement is false.

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 an economics text11we find the following system:

[-R1R1-1-伪伪1-伪-1-伪2R2-R2-1-伪2伪][dx1dy1dp]=[00-R2de2].

Solve for dx1,dy1, and dp. In your answer, you may refer to the determinant of the coefficient matrix as D. (You need not compute D.) The quantitiesR1,R2and D are positive, and ais between zero and one. If de2is positive, what can you say about the signs of dy1and dp?

There exist real invertible 3脳3 matrices A and S such that .

If an n脳n matrixAis invertible, then there must be an (n-1)脳(n-1)sub matrix of(obtained by deleting a row and a column of) that is invertible as well.

Question:A basisv1鈫�,v2鈫�,v3鈫�of鈩�3is called positively oriented ifv1鈫�encloses an acute angle withv2鈫�脳v3鈫�. Illustrate this definition with a sketch. Show that the basis is positively oriented if (and only if)det[v1鈫�,v2鈫�,v3鈫�]is positive.

Consider two positive numbers a and b. Solve the following system:

|ax-by=1bx+ay=0|.

What are the signs of the solutions x and y? How does x change as bincreases?
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Calculus

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.