Show that if the eigenvalues of (mathbf{A}) are (lambda_{1}, lambda_{2}, ldots, lambda_{n}), then the eigenvalues of (mathbf{A}-alpha

Question:

Show that if the eigenvalues of $\mathbf{A}$ are $\lambda_{1}, \lambda_{2}, \ldots, \lambda_{n}$, then the eigenvalues of $\mathbf{A}-\alpha \mathbf{I}$ are $\lambda_{1}-\alpha, \lambda_{2}-\alpha, \ldots, \lambda_{n}-\alpha$.

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

Step by Step Answer:

Related Book For book-img-for-question

Modeling And Analysis Of Dynamic Systems

ISBN: 9781138726420

3rd Edition

Authors: Ramin S. Esfandiari, Bei Lu

See More Books

Question Posted: Mar 21, 2024 11:00 AM

See More Questions

41. To evaluate the liquidity of a company, you should calculate the: 1 point A. Current ratio. B. Quick (acid test) ratio. C. Net working capital. D. A, B, C. E. None of the above. Clear selection...
Miller-Rabin test to check whether a number N is composite. This will involve computing a N1 mod N for some value of a. [10 marks] Carry out the steps for N = 65 and a = 1, 2, 8 and 12. on what each...
What is the reason for a support chain while disseminating the clock? [4 marks] 1 [TURN OVER CST.98.7.2 2 Specification and Verification I Portray momentarily the contrast among adequacy and...
Read the Comp & Ben Case Study and answer the following question: To the degree job growth (and increased car sales that come from m costs) is based on two tier-wage structures, how sustainable...
The following items appear on the consolidated balance sheet of Boeing Inc. at December 31, 2014 (in millions). The information in parentheses was added to aid in your understanding. Accounts payable...
Withdrew $500 from his law practice for personal use. LO.1
E 5-4 Upstream sales Pop Corporation owns an 80 percent interest in Son Corporation and at December 31, 2016, Pops investment in Son on an equity basis was equal to 80 percent of Sons stockholders...
1. If Amanda and David wanted to transfer the ownership of all 5 policies to Paws and Claws today through an absolute assignment, calculate the total amount of their donation receipt they would be...
A company issued 9%, 15-year bonds with a face amount of $82 million. The market yield for bonds of similar risk and maturity is 9%. Interest is paid semiannually. At what price did the bonds sell?...
Show that the eigenvalues of $\mathbf{A}$ and $\mathbf{A}^{T}$ are the same.
Prove that a singular matrix must have at least one zero eigenvalue.
Brendas Bar and Grill has current liabilities of $15 million. Cash makes up 10 percent of the current assets and accounts receivable makes up another 40 percent of current assets. Brendas current...
Simon Company's year-end balance sheets follow. At December 31 Assets Cash Accounts receivable, net Merchandise inventory Prepaid expenses Plant assets, net Total assets Liabilities and Equity...
Openthe Phetsimulation Charges and Field from this link: ( https://phet.colorado.edu/en/simulation/charges-and-fields ) . In this simulation, a little different model is used: the little yellow "E...
A particle of mass m that is moving along the x-axis is experiencing a restoring force of the form F = -k+x, where kf is the spring constant. The Hamiltonian for this system is given as: = d 2m dx +...
Distinguish carefully between the following terms: i) Resolution and Sensitivity. ii) Type A and Type B evaluations of measurement uncertainty. [30%] (b) Describe two common schemes used for the...
Write out the form of the partial fraction decomposition of the function (See Example). Do not determine the numerical values of the coefficients. (a) +3 x5 + 2x3 A B C x Dx + E ++++ 2+2 6 (b)...
Refer to the data in ED- 5. Per Share 12/ 31/ 2015..$ 45 12/ 31/ 2016.42 Required:
Imagine a sound wave with a frequency of 1.10 kHz propagating with a speed of 330 m/s. Determine the phase difference in radians between any two points on the wave separated by 10.0 cm.
What are the fundamental differences between SRAM and DRAM type memory?
How many bistables would you expect to find in the mbeds SRAM?
What does the term bistable mean?
Accounting changes fall into one of three categories. Identify and explain these categories and give an example of each one.
Machinery is purchased on May 15, 2015 for $120,000 with a $10,000 salvage value and a five year life. The half year convention is followed. What method of depreciation will give the highest amount...
Flint Corporation was organized on January 1, 2020. It is authorized to issue 14,000 shares of 8%, $100 par value preferred stock, and 514,000 shares of no-par common stock with a stated value of $2...

Show that if the eigenvalues of (mathbf{A}) are (lambda_{1}, lambda_{2}, ldots, lambda_{n}), then the eigenvalues of (mathbf{A}-alpha

Question:

Step by Step Answer:

To show that if the eigenvalues of mathbfA are lambda1 lambda2 ldots lambdan then ...View the full answer

Modeling And Analysis Of Dynamic Systems

Students also viewed these Computer science questions