Prove that the main diagonal of a skew-symmetric matrix must consist entirely of zeros.
Question:
Prove that the main diagonal of a skew-symmetric matrix must consist entirely of zeros.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (10 reviews)
If A is skewsymmetric A T A the...View the full answer
Answered By
Dorcas Juliet
I am a proficient tutor and writer with over 4 years experience, I can deliver A+ works in all fields related to business and economics subject. Kindly hire me for excellent papers
4.70+
10+ Reviews
51+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
(a) Show that A is symmetric if and only if aij = aij, for all i, j. (b) Show that A is skew symmetric if and only if aji = -ajj for all i, j. (c) Show that if A is skew symmetric, then the elements...
-
Prove that if A is an upper (lower) triangular matrix, then the eigenvalues of A are the elements on the main diagonal of A?
-
Skew-Symmetric Matrices: An n n matrix J is called skew-symmetric if JT = - J. (a) Show that every diagonal entry of a skew- symmetric matrix is zero. (b) Write down an example of a nonsingular...
-
What is the payback period for a project that has an initial investment of $117,000 and $10,000 net cash inflow in the first year, with a $1,000 increase in net cash inflows each year thereafter for...
-
The oud (rhymes with "mood") is a popular musical instrument in many cultures from northern Africa to southwest Asia, enjoying the same status in these countries as the guitar enjoys in Europe and...
-
Synergy and Dynaco are the only two firms in a specific high-tech industry. They face the following payoff matrix as they decide upon the size of their research budget: a. Does Synergy have a...
-
Diagram the flow of data within the cashier's department when a company has both over-the-counter and mail receipts.
-
Sue Kojima opened a law office on July 1, 2014. On July 31, the balance sheet showed Cash $5,000, Accounts Receivable $1,500, Supplies $500, Equipment $6,000, Accounts Payable $4,200, and Owners...
-
Discounted payback period Given the following two projects and their cash flows, calculate the discounted payback period with a discount rate of 4%, 12%, and 20% What do you notice about the payback...
-
A microbrewery was built in 2012 at a total cost of $650,000. Additional information is given in the accompanying table (all 2000 indices = 100). a. Calculate a weighted index for microbrewery...
-
Which of the following matrices are skew-symmetric? (a) (b) (c) (d) 2 -2 3 0.
-
Find the inverse of the given matrix (if it exists) using Theorem 3.8. |3 4
-
An individual taxpayer had a net 1231 loss in 2015. Could any of this loss be treated as a long-term capital loss? Why or why not?
-
Discuss how the goals of the field of organizational behaviour are related to the managerial tasks of analysis and action.
-
Discuss the factors that organizations can change and the implications of them.
-
Discuss the following statement: Organizational behaviour technologies should not be developed to control the behaviour of individuals in organizations.
-
Why is it important to study organizational behaviour?
-
Describe sources of external and internal pressures to change.
-
If the coffee is strong, then the coffee is not Maxwell House. the statements for p, q, and r to write the statement in symbolic form. p: The coffee is Maxwell House. q: The coffee is hot. r: The...
-
Which should drive action planning more, strengths or weaknesses? That is, is it more important to build on your strengths or to reduce your weaknesses? Explain.
-
Prove that if Q is an orthogonal n n matrix, then its Frobenius norm is ||Q||F = n.
-
Find the line of best fit through the points (1, 2), (2, 3), (3, 5), and (4, 7).
-
If u and v are orthonormal vectors, show that P = uuT + vvT is the standard matrix of an orthogonal projection onto span (u, v).
-
On January 1, 2019, Blue Co. leased a new machine from Green Co. The following information pertains to the lease: Lease term 5 years Annual rental payable at beginning of each year $ 55,000 Useful...
-
Wilson and Sons, Incorporated presently leases a copy machine under an agreement that calls for a fixed fee each month and a charge for each copy made. Wilson made 1 0 , 0 0 0 copies and paid a total...
-
At the beginning of the summer, Humphrey Nelson was looking for a way to earn money to pay for his college tuition in the fall. He decided to start a lawn service business in his neighborhood. To get...
Study smarter with the SolutionInn App