Suppose A = PDP-1, where a. Let B = 51 - 3A C A2. Show that B

Question:

Suppose A = PDP-1, where

a. Let B = 51 - 3A C A2. Show that B is diagonalizable by finding a suitable factorization of B.
b. Given p(t) and p(A) as in Exercise 5, show that p(A) is diagonalizable.

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

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra and Its Applications

ISBN: 978-0321791542

4th edition

Authors: David C. Lay

See More Books

Question Posted: May 02, 2016 12:09 PM

See More Questions

Suppose that the random variable X has an mgf Let the random variable Y have the following function for its probability density: Can we obtain the probability density of the variable X with the...
Suppose you want to take a sample of students in a university but your sampling frame is a list of all classes offered by the university. A student may be in more than one class, so a probability...
Suppose you want to take a sample of students in a university but your sampling frame is a list of all classes offered by the university. A student may be in more than one class, so a probability...
If a price ceiling or price floor existed where you lived, would you be willing to purchase products on the black market? What would you identify as a consequence to engaging in transactions on the...
Compute the mean for the followingnumbers. 7 -2 5 9 03 -6 7 -5 28
Charlotte Parker is considering purchasing either Gordon Company or Rollins Company. Both companies started business five years ago, and at that time, each company purchased property, plant, and...
with p-value 6 .01. Interpret this result practically. f. For the dependent variable service outcome quality, the ANOVA test statistic is F =
Superior Carpet Cleaning provided $76,000 of services during 2014, its first year of operations. All customers paid for the services with major credit cards. Superior submitted the credit card...
Required information [The following information applies to the questions displayed below) Forten Company's current year income statement, comparative balance sheets, and additional information...
Nally & Gibson produces crushed limestone, among other products, used in highway construction. To produce the crushed limestone, the company starts with limestone rocks from its quarry in Georgetown,...
If p(f) = c0 + c1t + c2t2 +... + Cn1n, define p(A) to be the matrix formed by replacing each power of t in p(t) by the corresponding power of A (with A0 = 1). That is,
a. Let A be a diagonalizable n x n matrix. Show that if the multiplicity of an eigenvalue A is n, then A = A1. b. Use part (a) to show that the matrix A is not diagonalizable. 3 8
Determine whether the following statements are true and give an explanation or counterexample. a. Jos travels from point A to point B in the plane by following vector u, then vector v, and then...
3. Different positions of Vermiform appendix.
Define Image?
What is Dynamic Range?
Define Brightness?
What is Chromatic Adoption?
Quality Chicken grows and processes chickens. Each chicken is disassembled into five main parts. Information pertaining to production in July 2014 is as follows: Joint cost of production in July 2014...
How has the too-big-to-fail policy been limited in the FDICIA legislation? How might limiting the too-big-to-fail policy help reduce the risk of a future banking crisis?
Construct a random integer-valued 4 4 matrix A, and verify that A and A T have the same characteristic polynomial (the same eigenvalues with the same multiplicities). Do A and A T have the same...
Use a matrix program to find the eigenvalues of the matrix. Then use the method of Example 4 with a row reduction routine to produce a basis for each eigenspace. Data from in Example 4 8 -10 -5 17 2...
Concern the polynomial and an n n matrix C p called the companion matrix of p: Use mathematical induction to prove that for n 2, p(t)= ao + at +...+ an-1t"-1 +t"
During the month of September,the Cider Pressing Company is trying to determine how much cider they are going to sell in October and November. One gallon of cider typically sells for $7 per gallon....
This is very confusing please help with descriptions if possible. Complete this question by entering your answers in the tabs below. Prepare a master budget for the three-month period ending June 30...
Doug recibe un dplex como regalo de su to. La base del to para el dplex y el terreno es de $90,000. En el momento de la donacin, el terreno y el edificio tienen un FMV de $40 000 y $80 000,...

Suppose A = PDP-1, where a. Let B = 51 - 3A C A2. Show that B

Question:

0 Pis2x 2 and D

Step by Step Answer:

a Since D is diagonal so is 5I 3D D 2 Thus B is similar to a d...View the full answer

Linear Algebra and Its Applications

Students also viewed these Linear Algebra questions