Let A = [1 0 1 101 000 0 1 1 0 1 Show that A...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Let A = [1 0 1 101 000 0 1 1 0 1 Show that A is nilpoltent, and then find the block matrix which is similar to A. 2- Suppose that the characteristic and minimal polynomials of a matrix A are respectively BA(x)=(x-2) (x-3) and m(x) = (x - 2) (x-3) Find all possible Jordan canonical form of A. 3-Suppose V is a vector space with dimV = 7 and let T:V V be a linear transformation with minimal polynomial mp = (x2 +2)(x+3)3 Find all possible rational form of T. Let A = [1 0 1 101 000 0 1 1 0 1 Show that A is nilpoltent, and then find the block matrix which is similar to A. 2- Suppose that the characteristic and minimal polynomials of a matrix A are respectively BA(x)=(x-2) (x-3) and m(x) = (x - 2) (x-3) Find all possible Jordan canonical form of A. 3-Suppose V is a vector space with dimV = 7 and let T:V V be a linear transformation with minimal polynomial mp = (x2 +2)(x+3)3 Find all possible rational form of T.
Expert Answer:
Answer rating: 100% (QA)
a We must prove that matrix A becomes the zero matrix when raised to a power in order to establish t... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Let X be a zero- mean, unit- variance, Gaussian random variable and let Y be a chi- square random variable with n1 degrees of freedom (see Appendix D, section D. 1.4). If X and Y are independent,...
-
Find the companion matrix of p(x) = x2 - 7x + 12 and then find the characteristic polynomial of C(p).
-
Find the companion matrix of p(x) = x3 + 3x2 - 4x + 12 and then find the characteristic polynomial of C(p).
-
What is the output of the following statements? int a=2; float b=3.5; int c=a; printf("%d",c)
-
Plot the payoff diagrams fur the following instruments: (a) A caplet with cap rate Rcap = 6.75% written on 3-wonth Libor Lt, that is about to expire. (b) A forward contract written on a default-free...
-
What is the difference between systematic and unsystematic risk? What type of risk is relevant for determining the expected return? What is the SML? What is the CAPM? What is the APT? Consider an...
-
Find the trajectories of the system governed by the equations \[\dot{x}=2 x+y, \quad \dot{y}=-3 x-2 y\]
-
Thirteen students entered the undergraduate business program at Rollins College 2 years ago. The following table indicates what their grade-point averages (GPAs) were after being in the program for 2...
-
Harrison Forklift's pension expense includes a service cost of $13 million. Harrison began the year with a pension liability of $34 million (underfunded pension plan). ($ in millions) 1. Interest...
-
In spring 2021, Amir Nathoo was at the helm of one of the most talked-about startups in the massive and fragmented educational technology (EdTech) industry. Just six years earlier, Nathoo and his...
-
On July 9, Milam Company sells goods on credit to Parras Company for $5,100, terms 1/10, n/60. Milam receives payment on July 20. Prepare a journal entry by parras on July 20?
-
Speaking on the status of Honolulus Elevated Rail public transport system, former Hawaii Governor Benjamin Cayetano had an interesting message for President Trump: As a lifelong Democrat and former...
-
Conceived in the 1980s as a device to accelerate particles in high-energy physics research, the Superconducting Supercollider (SSC) was a political and technical hot potato from the beginning. The...
-
Solve the following initial-value problem, and evaluate the solution at \(t=2.8\). tx+x=e, x(1)=-1
-
Assume that the recorded heights of 10 students are 120, 122, \(128,176,124,127,121,125,127\), and 129 centimeters. Which number do you think will be the outlier while calculating the average height...
-
Below is selected financial data extracted from the accounting records of Wilson Manufacturing Pty Ltd for the year ended 30 June 2019. Required (a) Prepare a cost of goods manufactured statement for...
-
Lily Company performed services for a customer on January 1, 20x1 and accepted a four-year, $70,000, noninterest-bearing note. The note requires the customer to make 4 annual payments of principal...
-
Why is disclosure of depreciation or amortization methods and rates so important?
-
A tow truck is towing a car. The tension in the tow cable is 1 500 N and the cable makes a 45° with the horizontal, as shown in Figure 1. 81. What is the vertical force that tends to lift the car...
-
In Exercises 27 and 28, a QR factorization of A is given. Use it to find a least squares solution of Ax = b. 1. 2.
-
Prove the stated property of distance between vectors. a. d(u, v) = d(v, u) for all vectors u and v b. d(u, w) d(u, v) + d(v, w) for all vectors u, v, and w c. d(u, v) = 0 if and only if u = v
-
Define thermal efficiency of a heat engine.
-
What are the limitations of Carnot cycle?
-
Differentiate between a heat pump and a refrigerator.
Study smarter with the SolutionInn App