Question: 6. Let -2 A = 1 2 1 3 1. Find the eigenvalues and eigenspaces of A. 2. Find an inverse matrix P and

6. Let -2 A = 1 2 1 3 1. Find the

6. Let -2 A = 1 2 1 3 1. Find the eigenvalues and eigenspaces of A. 2. Find an inverse matrix P and a diagonal matrix D such that A = PDP-1. 3. Compute A? by using the result (2).

Step by Step Solution

★★★★★

3.35 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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

Students Have Also Explored These Related Mathematics Questions!

(a) Find the eigenvalues and eigenspaces of (b) Using Theorem 4. 18 and Exercise 22, find the eigenvalues and eigenspaces of A-1, A - 2I, and A + 2I. [3 2] A =D

Find the eigenvalues and eigenvectors of the matrix (a) Use the eigenvalues to compute the determinant of A. (b) Is A positive definite? Why or why not? (c) Find an orthonormal eigenvector basis of...

Find the eigenvalues and normalized eigenvectors of the matrix You can avoid solving a cubic equation if you expand the characteristic determinant in the simplest way and do not fully multiply out...

The State Department of Labor is working on its revenue budget for the year ending June 30, 2015. The State uses a system of account numbers to simplify its bookkeeping processes. The system uses...

The UFRO Company is considering the replacement of an existing spectrometer with a new spectrometer; faster and with expanded capacity. If the new spectrometer is purchased, the existing (old)...

Matt and Zach had requested you to write a short white paper (2 to 3 pages) presenting the opportunities and challenges in going private.

Analyze this case study: https://www.coursehero.com/smart-scan/322089368/file/ Question: What are 2 or 3 issues in the Johnson and johnson case study? Look for connections to and interconnections to...

A matrix is given 54 Evaluate the eigenvalues and eigenvectors for given matrix 1940 a Eigenvalues 1 and 3 1 1 Eigenvectors b Eigenvalues 1 and 3 1 Eigenvectors c Eigenvalues 1 and 3 Eigenvectors d...

Let r(x) = F(g(h(x))), where h(1) = 2, g(2) = 3, h(1) = 4, g(2) = 5, and f(3) = 6. Find r (1).

A company produces the following income statement for the year to 31 March 2018: Notes: 1. The pr operty was let on 1 January 2018 at a rent of 20,000 per annum, payable annually in advance. The...

Windy City Insurance Ltd. has received a fire-loss claim of $45,000 from Balton Corp. A fire destroyed Baltons inventory on May 25, 2016. Balton has an average gross profit of 331/3 per cent. You...

In the Module Overview, we stated that an "aggregate plan will include the quantity and timing of production for the intermediate future (typically 3-18 months ahead). Some factors such as demand,...

Evaluate the integral: 1 9 x 2 x 2 4 9 2 d x ( A ) Which tris substitution is correct for this integral? x = 7 t a n ( ) x = 4 9 t a n ( ) x = 4 9 s i n ( ) x = 4 9 s e c ( ) x = 1 9 s e c ( ) x = 7...

illustrate your discussions with examples where applicable. 2) 2.Name four qualities associated with human resources that help an organisation achieve sustainable competitive edge

In December 2011, American Greetings closed at $12.51 a share. This was the lowest for the company in the previous 36 months. This has become a concern for management due to the concerning decline in...

Essential Resource: The Value Line Research Center Using the Stafford Library website, select the Databases option from the tabbed menu Select Business, Management and Finance Databases from the...

The major drug company is trying to determine the correct plant capacity for a new drug. A unit of annual capacity can be built for a cost of $10. Each unit of the drug sells for $15 and incurs...

Eriko earns $45,755 per year. She contributes 8% of her income to her 401(k) plan at work. In her tax bracket, she would pay 37% of her income in state and federal income taxes. A) How much is she...

The following questions will require the use of STATA. The data, from the General Social Survey, are in the data file homework5.dta. Here are the variables: age (age in years), married (whether or...

Please use attached file 1. ?/1 pointsBerrFinMath1 3.1.001. Solve the system by graphing. (Enter your answers as a commaseparated list. If the system is inconsistent, enter INCONSISTENT. If the...

ttth Suppose that the sequence of bags {Bn | n N} is recursively enumerated by the computable function e(n, x) = fn(x), [7 marks] Hence prove that the set of all recursive bags cannot be recursively...

Give Correct ANSWERS Human-Computer Interaction (a) If you had been one of the original inventors of the WIMP interface, and engineers on the technical team had been sceptical about the advantages...

MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...

(REALLY NEED HELP WITH QUESTIONS 1-11 WITH FULL EXPLANATIONS. HAND WRITTEN ANSWERS ARE PREFERRED IF AND WHEN POSSIBLE). (NOTE: Week6-1.txt, Week6-2.txt, and Week6-3.txt data is listed at the bottom...

in those partice question could you help me to fix my mistake here is my work since Ais has element of ( mhumn ) order by counter example Lom ( 7. 5. 1 )= 35 2 ? so Ais has no element of order 42 do...