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...
-
Simon Eurat (continued) You have the following additional information. 1. 10% of the debtors are considered bad. 2. 800 of the insurance is prepaid. 3. There is 250 owing for electricity and 300...
-
2
-
Suppose you bought a bond with an annual coupon rate of 6.5 percent one year ago for $1,032. The bond sells for $1,020 today. a. Assuming a $1,000 face value, what was your total dollar return on...
-
Problem 7 Attempt 1/10 for 10 pts. Part 1 Net working capital equals _____. current liabilities current assets current assets minus current liabilities current liabilities minus current assets
-
There are 2 shinobis with chakra levels 5 and 10 respectively and the desired sum of chakra levels is utmost 15 Starting with ke0, suy of chakra levels after attack max(5-0,0) + max(10- 0,0) 5+10 15....
-
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.
-
Find the indefinite integral and check the result by differentiation. x 1-x dx
-
Following the example shown in (a) below, indicate the effects of the listed transactions on the assets, liabilities, and stockholders equity of John Dallmus, certified public accountant, a...
-
What effect does the ordering of a search tree have on the efficiency of the search? What effect does it have on the quality of the results? How would order affect the way that depth-first search or...
-
For each of the accounts listed below, indicate whether the account is increased by a debit or a credit: Accounts Receivable Sales Revenue Equipment Common Stock Notes Payable Retained Earnings...
-
Smart Sports is also planning to launch a range of drinks products. The products have been developed by Hydration Labs Ltd and are designed to be sold as powders that dissolve easily in water. They...
-
Baucom Company accepted credit cards in payment for \(\$ 6,850\) of services performed during March 2011. The credit card company charged Baucom a 4 percent service fee. The credit card company paid...
-
Which element is important in the manufacturing of glassware intended for heating? a) Carbon b) Nitrogen c) Phosphorus d) Boron
-
KD Insurance Company specializes in term life insurance contracts. Cash collection experience shows that 20 percent of billed premiums are collected in the month before they are due, 60 percent are...
-
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...
-
The cost of partially completed goods at the end of the period would be Ending work in process inventory Cost of goods sold Beginning finished goods inventory Beginning work in process inventory
-
At a 3% (EAR) rate of interest, you will quadruple (increase four folds) your money in approximately ____ years.
-
Smile Company makes baked goods. The budgeted sales are $620,000, budgeted variable costs are $260,400, and budgeted fixed costs are $237,800. What is the budgeted operating income?
Study smarter with the SolutionInn App