Prove that if U is a nonsingular upper triangular matrix, then the diagonal entries of U-1 are
Question:
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 77% (18 reviews)
Since U 1 is also upper triangular the ...View the full answer
Answered By
Fahmin Arakkal
Tutoring and Contributing expert question and answers to teachers and students.
Primarily oversees the Heat and Mass Transfer contents presented on websites and blogs.
Responsible for Creating, Editing, Updating all contents related Chemical Engineering in
latex language
4.40+
8+ Reviews
22+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
(a) According to Exercise 5.2.12, the Grarn-Schmidt process can also be applied to produce orthonormal bases of complex vector spaces. In the case of Cn, explain how this is equivalent to the...
-
A square matrix is called upper triangular if all of the entries below the main diagonal are zero. Thus, the form of an upper triangular matrix is Where the entries marked * are arbitrary. A more...
-
Prove that if an upper triangular matrix is orthogonal, then it must be a diagonal matrix.
-
What are the advantages and disadvantages of decentralization? Would you prefer to work in a centralized or decentralized organization and why? What are opportunity costs and what are the economic...
-
As a consultant, you have been asked to recommend either a gainsharing plan or a profit-sharing plan for employees who work in the four regional distribution and warehousing facilities of a large...
-
Simon Eurat, who runs a taxi business, has the following trial balance. S. Eurat Trial Balance as at 30 June 2002 Debit Credit fe iL Cash overdrawn at bank 1,500 Long-term loan 3,550 Receipts 28,300...
-
15.50
-
Aguilera Acoustics, Inc. (AAI), projects unit sales for a new seven-octave voice emulation implant as follows: Year ______________Unit Sales 1 ............................. 87,500 2...
-
What percentage of the monies owed to unsecured (ordinary) creditors will be paid out in this bankruptcy? (I need a simple percentage, nothing else) Order of creditors under law: 1. Secured creditors...
-
Richard chooses technique 0 and 2 requiring 10+10-20 efforts and provising 10+11=21 benefits. Hence, 21 is returned as the output Example 2: input1: 3 input2: (10,10,10,10) input3: (10,11,12,15)...
-
Prove that a diagonal matrix D = diag(d1,... , dn) is invertible if and only if all its diagonal entries are nonzero, in which case D-l = diag(1/d1..........1/dn) .
-
Two matrices A and B are said to be similar, written A ~ B, if there exists an invertible matrix S such that B = S-1 AS. Prove: (a) A ~ A (b) If A ~ B, then B ~ A. (c) If A ~ B ~ C, then A~ C.
-
An elastic exercise band is grasped and then is stretched as shown. Knowing that the tensions in portions BC and DE of the band are 80 N and 60 N, respectively, determine, using trigonometry, (a) The...
-
The following post-closing trial balance was drawn from the accounts of Spruce Timber Co. as of December 31, 2011. Transactions for 2012 1. Acquired an additional \(\$ 10,000\) cash from the issue of...
-
Bankers Trust (BT) was one of the most powerful and profitable banks in the world in the early 1990s. Under the stewardship of chairman Charles Sanford Jr., it had transformed itself from a staid...
-
Hammond Inc. experienced the following transactions for 2011, its first year of operations: 1. Issued common stock for \(\$ 80,000\) cash. CHECK FIGURES b. Net Income: \(\$ 62,520\) Total Assets:...
-
Following are the current prices and last years prices of a gallon of regular gas at a sample of 14 gas stations. Can you conclude that the median price is different now from what it was a year ago?...
-
A sample of nine men participated in a regular exercise program at a local gym. They were weighed both before and after the program. The results were as follows. Can you conclude that the median...
-
Does the metallic characteristic of a main-group element increase or decrease as we move down a family? Explain why.
-
What is a content filter? Where is it placed in the network to gain the best result for the organization?
-
Suppose that is an eigenvalue of A. (a) Prove that c is an eigenvalue of the scalar multiple c A. (b) Prove that + d is an eigenvalue of A + d I. (c) More generally, c + d is an eigenvalue of B =...
-
Let A be a nonsingular square matrix. Prove the following formulas for its condition number: (a) (b) K(A) max{ || Au|| | || u || = 1} min{ || Au|| | ||u|| = 1)
-
Under the assumptions of Theorem 8.74, show that A B 2 is also minimized when B = A k among all matrices with rank B k. Theorem 8.74 Theorem 8.74 says that, in the latter cases, the number of...
-
Deacon Company is a merchandising company that is preparing a budget for the three - month period ended June 3 0 th . The following information is available Deacon Company Balance Sheet March 3 1...
-
Mango Company applies overhead based on direct labor costs. For the current year, Mango Company estimated total overhead costs to be $460,000, and direct labor costs to be $230,000. Actual overhead...
-
Which of the following do we expect to be the horizon growth rate for a company (long term growth rate- say 30-50 years)? A) Inflation B) Industry Average C) Zero D) Market Beta
Study smarter with the SolutionInn App