Question: Each of these matrices is nilpotent. a) (1/2 1/2 1/2 -1/2)(b) c 0 0 1 1 1 -1 1

Each of these matrices is nilpotent.
Each of these matrices is nilpotent.

a) (1/2 1/2 1/2 -1/2)(b) c 0 0 1 1 1 -1 1

Step by Step Solution

★★★★★

3.52 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a The calculation shows that any map represented by the matrix must act on t... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

961-M-L-A-L-S (5778).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Q:

Decide which of these matrices are nilpotent. 114 (c) 3 2 (d) 3 0-1 -3 2 3 2/ 45 22-19 (e) 33 1614 69 34 29

Q:

The matrices are inverses of each other. Use these matrices to solve the following systems of linear equations: (a) (b) -2 + 2 %3D1 5 + 4: 0 5 + 4: 3

Q:

Use these matrices to do the arithmetic problems 1a-d. If a particular operation is impossible, explain why? a. b. c. d. e. [D] [C] f. [A] [D] L42] LAl+[B] [3]=1 6 3 4 [c]=15 2 4.[D] -3 1 21 [D]=1 2...

Q:

QUESTION 1 Which is an example of a proportion? NIE O 26 O = 25 unhappy customers O 1 inch 7 inches 10 miles z miles QUESTION 2 In a proportion, where x 2 0 andy / 0, which of the following are...

Q:

5. Assume that a firm can invest an initial outlay of $100,000 in a 10-year project that yields EBITDA of $22,000 per year. The firm's tax rate is 40% and the cost of capital is 12%. a. Calculate the...

Q:

Problem 16-4 (Static) Develop an assignment plan that will minimize processing costs, given the information shown, and interpret your answer. Note: Because the number of jobs exceeds the number of...

Q:

Apply the loop rule to loop abcdefgha in Figure 21.25. R 2.5 a 12 12 E = 18 V b C 4F h 1 13 R ww 6.0 92 E2 = 45 V 0.5 + 12 0.5 d 13 f 12 e R3 1.592

Q:

1. Solve the system of equations by any method. -2x + 5y = -42 7x + 2y = 30 Enter the exact answer as an ordered pair, (x, y). If there is no solution, enter NS. If there is an infinite number of...

Q:

Hello, I am struggling to call kNearestNeighbors function on my training and testing matrices. I keep getting this error: What can I do about it ? IndexError: index 57 is out of bounds for axis 0...

Q:

Questions 1 and 2 MTH102A: Mathematics - II X 5 PS3_20.pdf X Course Hero X + 0 X C hello.iitk.ac.in/sites/default/files/mth102a/assignments/problems/PS3_20.pdf ... Apps M Gmail Maps YouTube Translate...

Q:

The following stockholders equity accounts, arranged alphabetically, are in the ledger of Borkowski Corporation at December 31, 2012. Corporation at December 31, 2012. Common Stock ($5 stated value)...

Q:

The owner of a restaurant in Bloomington, Indiana, has recorded sales data for the past 19 years. He has also recorded data on potentially relevant variables. The data appear in the file P10_23.xlsx....

Q:

9. Which of the following is an ionic compound? (a) copper(II) oxide (b) iodine (c) silicon (IV) oxide (d) water

Q:

A Dynamic Model of U.S. Investment Gauss file(s) auto_invest.g, auto_test.g, usinvest.dat Matlab file(s) auto_invest.m, auto_test.g, usinvest.mat This exercise uses quarterly U.S. data from March...

Q:

We can show that, for an n n stochastic matrix, 1 = l is an eigenvalue and the remaining eigenvalues must satisfy |j| 1 j = 2,..., n Show that if A is an n n stochastic matrix with the property...

Q:

Let A be an n n positive stochastic matrix with dominant eigenvalue 1 = 1 and linearly independent eigenvectors x1, x2,..., xn, and let y0 be an initial probability vector for a Markov chain y0, y1...

Q:

Would the results of parts (c) and (d) in Exercise 13 be valid if the stochastic matrix A was not a positive matrix? Answer this same question in the case when A is a nonnegative stochastic matrix...

Q:

2.(18 points) Consider a bond B with r = 4% and four risky assets with the price history: year s S2 S3 S4 2016 500 625 625 2500 2017 450 750 375 2250 2018 405 900 225 3150 2019 405 720 270 4410 2020...

Q:

1. Empirical evidence about the link between deposit insurance and banking crisis found that: A. Deposit insurance always decrease the chance of a banking crisis B. Deposit insurance always increase...

Q:

Assume that the firm invests $75,600 today to get $14,500 at Year 1 (i.e. one year from now), $22,000 at Year 2, $15,700 at Year 3, $30,000 at Year 4, \$19,500 at Year 5, \$19,370 at Year 6. What's...