Prove that a diagonal matrix D = diag(d1,... , dn) is invertible if and only if all
Question:
.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 62% (8 reviews)
To conclude I can say that if all the di...View the full answer
Answered By
Dinesh F
I have over 3 years of professional experience as an assignment tutor, and 1 year as a tutor trainee.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
(a) Prove that a diagonal matrix D = diag(c1,c2, ...,cn) is positive definite if and only if all its diagonal entries are positive: c, > 0. (b) Write down and identify the associated inner product.
-
Invertibility of Diagonal Matrices Show that a diagonal matrix A is invertible if and only if all diagonal elements are nonzero. Give the form of A-l?
-
Prove Theorem 9.13. Theorem 9.13 An n n matrix A is similar to a diagonal matrix D if and only if A has n linearly independent eigenvectors. In this case, D = S1 AS, where the columns of S consist...
-
Understanding the history and background of your company gives you valuable insights as to what to do and what not to do going forward. A brief written summary of the background and history of the...
-
You are a member of a team responsible for developing a reward system for your college or university faculty unit. Assume that the faculty is nonprofit, so profit sharing is not an option. What other...
-
SER and \(R^{2}\) are "measures of fit" for a regression. Explain how \(S E R\) measures the fit of a regression. What are the units of \(S E R\) ? Explain how \(R^{2}\) measures the fit of a...
-
What is the major focus of tests of controls for perpetual records and for cost records?
-
Fit & Slim is a health club that offers members various gym services. F&S accounts reports. Required: 1. Assume F&S offers a deal whereby enrolling in a new membership also entitles the member to...
-
1. Identify areas of difference that could potentially cause conflict between line managers in the United States and their employees who are natives of the locales in which they work (e.g. paid leave...
-
Visit two web sites that you are familiar with and write down every click that you make, and the patterns and time periods corresponding to your surfing. Then, describe how a marketerof a product of...
-
Prove that if c 0 is any nonzero scalar and A is an invertible matrix, then the scalar product matrix c A is invertible, and (CA)-= -A-1
-
Prove that if U is a nonsingular upper triangular matrix, then the diagonal entries of U-1 are the reciprocals of the diagonal entries of U.
-
Simply Shine Shampoo is manufactured in two departments: Mixing and Packing. Once the shampoo mixture is completed in the Mixing Department, it is sent to Packaging, where a machine fills and seals...
-
Collusion is less likely in a market when: A. the product is homogeneous. B. companies have similar market shares. C. the cost structures of companies are similar.
-
Oligopolistic pricing strategy most likely results in a demand curve that is: A. kinked. B. vertical. C. horizontal.
-
A wireless phone manufacturer introduced a next-generation phone that received a high level of positive publicity. Despite running several high-speed production assembly lines, the manufacturer is...
-
A market structure characterized by many sellers with each having some pricing power and product differentiation is best described as: A. oligopoly. B. perfect competition. C. monopolistic...
-
A company doing business in a monopolistically competitive market will most likely maximize profits when its output quantity is set such that: A. average cost is minimized. B. marginal revenue equals...
-
Shopping online is clearly an easy and convenient way to purchase just about anything. But what about clothes? The problem is that clothing sizes vary between retailers, and styles, patterns, and...
-
Multiple Choice Questions: 1. The largest component of aggregate demand is? a. Government purchases. b. Net exports. c. Consumption. d. Investment. 2. A reduction in personal income taxes, other...
-
Show that if is an eigenvalue of A, then 2 is an eigenvalue of A 2 .
-
Let A be an m n matrix with singular values 1 , . . . , r . Prove that T W i=1 2 mu n 2 aij i=1 j=1
-
Suppose A is an m n matrix of rank r < n. Prove that there exist arbitrarily close matrices of maximal rank, that is, for every > 0 there exists an m n matrix B with rank B = n such that the...
-
As we have seen in this course, virtually every generation has felt that the existing threat to its privacy was unprecedented in nature. That said, the sheer capacity to collect metadata which exists...
-
In 1982 the inflation rate hit 16%. Suppose that the average cost of a textbook in 1982 was $20. What was the expected cost in the year 2017 if we project this rate of inflation on the cost? (Assume...
-
Alice is single and self-employed in 2023. Her net business profit on her Schedule C for the year is $192,800. What are her self-employment tax liability and additional Medicare tax liability for...
Study smarter with the SolutionInn App