Solution Found!

Math / Linear Algebra and Its Applications 5 / Chapter 2.SE / Problem 20E

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald

Change Question

Solved: [M] Let An be the n × n matrix with 0’s on the

Chapter , Problem 20E

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

Problem 20E

[M] Let An be the n × n matrix with 0’s on the main diagonal and 1’s elsewhere. Compute for n = 4, 5, and 6, and make a conjecture about the general form of for larger values of n.

Questions & Answers

QUESTION:

Problem 20E

[M] Let An be the n × n matrix with 0’s on the main diagonal and 1’s elsewhere. Compute for n = 4, 5, and 6, and make a conjecture about the general form of for larger values of n.

ANSWER:

Solution

Step 1

In this problem we have to compute ${{A}_{n}}^{-1}$ for n=4,5,6 and then we have to make a conjecture about the general form of ${{A}_{n}}^{-1}$ for larger values of n.

Given: ${A}_{n}$ is the n × n matrix with 0’s on the main diagonal and 1’s elsewhere.

When $n=4$

${A}_{4}$ is the 4 × 4 matrix with 0’s on the main diagonal and 1’s elsewhere.

Study Tools You Might Need

Chapter: 2 Problem: 23

College Physics 1
Problem 23PE Problem (a) A light-rail commuter train accelerates at a rate of 1.35 m/s2 . How long does it take to reach its top speed of 80.0 km/h, starting from rest? (b) The same train ordinarily decelerates at a rate of 1.65 m/s2 . How long does it take to come to

Chapter: 11 Problem: 83P

Introductory Chemistry 5
Calculate the volume of each gas sample at STP. (a) 22.5 mol \(\mathrm{Cl}_{2}\) (b) 3.6 mol nitrogen (c) 2.2 mol helium (d) 27 mol \(\mathrm{CH}_{4}\) Equation Transcription: Text Transcription: Cl_2 CH_4

Chapter: 5 Problem: 5.25

Classical Mechanics 0
Consider a damped oscillator with p < No. There is a little difficulty defining the "period" r1 since the motion (5.38) is not periodic. However, a definition that makes sense is that r1 is the time between successive maxima of x (t). (a) Make a sketch of x (t) against t and indicate this definition

Chapter: 3 Problem: 5

Microbiology: An Introduction 11
Which of the following is not a functionally analogous pair of stains? a. nigrosin and malachite green b. crystal violet and carbolfuchsin c. safranin and methylene blue d. ethanol-acetone and acid-alcohol e. none of the above

Chapter: 9 Problem: 45AYU

Fundamentals of Statistics 4
The data set on the left represents the annual rate of return (in percent) of eight randomly sampled bond mutual funds, and the data set on the right represents the annual rate of return (in percent) of eight randomly sampled stock mutual funds. (a) Determine the mean and standard deviation o

Chapter: Problem: 1

Myers' Psychology for AP 2
Human genome (DNA) researchers have discovered that a. chimpanzees are completely different than humans, sharing a small DNA sequence percentage. b. the occasional variations found at particular gene sites in human DNA are of no interest to science. c. many genes do not influence most of our traits.

Chapter: 6 Problem: 2

Principles of Economics 9
In a market with a binding price ceiling, increasing the ceiling price will a. increase the surplus. b. increase the shortage. c. decrease the surplus. d. decrease the shortage.

Chapter: 14 Problem: 87

Introductory Chemistry: A Foundation 9
Formaldehyde has the formula \(\mathrm{CH}_{2} \mathrm{O}\), where C is the central atom. The molecules in a sample of formaldehyde are attracted to each other by a combination of a. dipoledipole forces and ionic forces. b. hydrogen bonding and dipoledipole forces. c. ionic forces and

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

×

Register

Sign up for access to all content on our site!

Or login if you already have an account