Let A = [aij] be the n n matrix defined by aij = k and aij

Question:

Let A = [aij] be the n × n matrix defined by aij = k and aij = 0 if i ≠ j. Show that if B is any n x n matrix, then AB = kB.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

See More Books

Question Posted: Jun 21, 2016 06:56 AM

See More Questions

Let A = (aij be an n Ã n matrix with elgenvalues Î»1, ... ,Î»n. Show that aj + a- ) i#j j = 1, ..., n for
Let A = (aij)nn and B = (bij)nn be two matrices. When the matrix product AB is formed, as defined in Definition A2.5, how many multiplications (of entries) are performed? How many additions (of...
A persymmetric matrix is a matrix that is symmetric about both diagonals; that is, an N N matrix A = (aij) is persymmetric if aij = aji = aN+1i,N+1j, for all i = 1, 2, . . . , N and j = 1, 2, . . ....
Simplify the expression 2x + (x + 1) into a single x + 1 fraction. The numerator of your answer is: The denominator of your answer is:
What is the shortest route through the network inFigure? 20 2 2 2 18 4 3 2 5 3 2 9 3 2
Here is a potential survey question: Studies have shown that consuming one alcoholic drink daily helps reduce heart disease. How many alcoholic drinks do you consume daily? a. Explain which two of...
The air can hold more water vapor at a lower temperature. (True/False)
Gemini, Inc., an all-equity firm, is considering a $1.7 million investment that will be depreciated according to the straight-line method over its four-year life. The project is expected to generate...
(1 point) A cryptography student has accidentally used the same keystream to encrypt two different messages, M and M2. We know that the ciphertexts are C 0x06c6d00e4633400a and C2 =...
Mariam is a trader. On 1 March 202 the balances in her cash book were: Cash $100 debit Bank $494 credit The following transactions took place in March 202: March 4 Paid for repairs to office...
Let x1 and x2 be solutions to the homogeneous linear system Ax = 0. (a) Show that x1 + x2 is a solution. (b) Show that x1 - x2 is a solution. (c) For any scalar r, show that rx1 is a solution. (d)...
Let A be an m Ã n matrix and C = [c1 c2 cm] a 1 Ã m matrix. Prove that Where Aj is the jth row of A. CA-A
The strike price of a compensation option is generally set on the day the option is issued. On November 10, 2000, the CEO of Analog Devices, Jerald Fishman, received 600,000 options. The stock price...
Which sentence emphasizes the writer of the report? a. Emma wrote a report about the emergence of fast casual restaurants such as Panera Bread and Chipotle Mexican Grill. b. A report about the...
Because Americans are increasingly health conscious, they are drinking more bottled water than ever before. Your Task. For each of the above numbered sentences, select the letter that identifies its...
The Federal Trade Commission targeted deceptive diet advertisements by weight-loss marketers. Your Task. When indirectness or tact is required, use passive-voice verbs. Revise the above sentence so...
Jason Berry submitted his proposalhoweverhe forgot to enclose the budget. For the above sentence, insert any necessary semicolons, commas, or colons. Count the number of marks you add. Write that...
Workers were asked to wear badges with tiny sensors to monitor their communication and activity patterns at Bank of America. Your Task. Business writing is more forceful when it uses active-voice...
Among all of the 50,000 aspirin tablets produced by a pharmaceutical company over a given period, a sample of 200 tablets is tested and the mean amount of aspirin in these tablets is found to be 328...
1. Use these cost, revenue, and probability estimates along with the decision tree to identify the best decision strategy for Trendy's Pies. 2. Suppose that Trendy is concerned about her probability...
If P is an n 1 matrix such that PT P = 1, then H = I - 2PPT is called the corresponding Householder matrix (named after the American mathematician A. S. Householder). Prove that if H is any...
Use the result in part (a) to find An if 00c 0b0 a01
Find a homogeneous linear system with two equations that are not multiples of one another and such that x1 = 1, x2 = - 1, x3 = 1, x4 = 2 And x1 = 2, x2 = 0, x3 = 3, x4 = - 1 Are solutions of the...
Clara a CPA, has been engaged by nonissuer Baxter Manufacturing Co. to perform a financial statement audit. During the audit, Clara identified a control deficiency that was a significant deficiency...
The following standard cost statement relates to a product which sells for $200 each. The company budgets to produce and sell 4,000 units. The variable overhead costs per unit are $120 and the fixed...
We are going to be spending a lot of time together, Michael, so I think we need to make the best of it." There was an underlying tone of parental condescension in Emma Nelson's voice as she spoke to...

Let A = [aij] be the n n matrix defined by aij = k and aij

Question:

Step by Step Answer:

Let A a ij where a ii k and a ij 0 ...View the full answer

Elementary Linear Algebra with Applications

Students also viewed these Linear Algebra questions