Show that the only eigenvalue of a nilpotent matrix is zero.
Question:
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 84% (19 reviews)
Observe that a canonical form nilpotent matrix has ...View the full answer
Answered By
RAMYA SRI ALLA
THIS IS RAMYA SRI ALLA I DID MY MASTERS (MCA) IN 2018 VIGNAN'S LARA INSTITUTE OF TECHNOLOGY & SCIENCE VADLAMUDI,CURRENTLY I AM WORKING IN CANCER TREATMENT SERVICES, BEFORE I WORKED AS A RECEPTIONIST AND TEACHER ALSO IN KSVS PRIVATE LIMITED TENALI ,AND I WORKED AS JKK IT SOULATIONS AS A TELLY CALLER 2017 HYDERBAD , MY SHORTEST GOAL IS TO ESTABLISH ONE ORGANIZATION.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
A square matrix A is called nilpotent if Ak = O for some k 1. (a) Prove that the only eigenvalue of a nilpotent matrix is 0. (The converse is also true; see Exercise 8.6.18.) (b) Find examples where...
-
Let A and consider TA : R2 R2. (a) Show that the only eigenvalue of TA is A = 0. (b) Show that ker(TA) = (R) is the unique TA-invariant subspace of R2: (except for 0 and R2). 0 0
-
An n n matrix A is called nilpotent if an integer m exists with Am = On. Show that if is an eigenvalue of a nilpotent matrix, then = 0.
-
47GP: Chapter: CH0 CH1 CH2 CH3 CH4 CH5 CH6 CH7 CH8 CH9 CH10 CH11 CH12 CH13 CH14 CH15 CH16 CH17 CH18 CH19 CH20 CH21 CH22 CH23 CH24 CH25 CH26 CH27 CH28 CH29 CH30 Problem: 1CQ 1MCP 1P 2CQ 2MCP 2P 3CQ...
-
Why is frictional unemployment inevitable? How might the government reduce the amount of frictional unemployment?
-
1. What is Nordstroms segmentation strategy? Who does it serve? 2. Using the Porter model, which generic business level strategy is Nordstrom pursuing? Nordstrom is one of Americans most successful...
-
Find an example of a spaghetti plot and click on the image. You can answer the following questions using either the default variables and cases, or else use the menu on the left to select variables...
-
Wonderful! Not only did our salespeople do a good job in meeting the sales budget this year, but our production people did a good job in controlling costs as well, said Kim Clark, president of...
-
Question: Christian Volhard works as a financial analyst for Tooele Company, which operates a large chain of fast-food restaurants. One of the key costs of the fast-food restaurants is the cost of...
-
A microscope has a magnifying power of 600, and an eyepiece of angular magnification of 15. The objective lens is 22 cm from the eyepiece. Without making any approximations, calculate (a) The focal...
-
Is nilpotence invariant under similarity? That is, must a matrix similar to a nilpotent matrix also be nilpotent? If so, with the same index?
-
Let t: V V be a linear transformation and suppose v V is such that tk(v) = 0 but tk-1(v) 0. Consider the t-string hv, t(v),....., tk-1(v)i. (a) Prove that t is a transformation on the span of the...
-
Go to the St. Louis Federal Reserve FRED database, and find data on corporate net worth of nonfinancial businesses (TNWMVBSNNCB), private domestic investment (GPDIC1), and a measure of financial...
-
Discuss how sound ethical practices and reasoning inform the objectivity expected in accounting and financial statements. How would you suggest improved ethical practices could be established and...
-
3. Write a GUI program, following the figure below. User can input the name and id within the according text fields, and comments in the text area. There are also three buttons at the bottom of the...
-
When reading "Araby," what stood out to you most-a description, a scene, a character, a theme? Be specific in your answer.
-
Prepare a 6-minute and 40-second Pecha Kucha presentation with 20 slides and your talking head/face that discusses how you will apply the ICT competency standards in your future 21st century...
-
As a leader in a criminal justice organization, you will need to be able to identify challenges to your organizational structure and systems and apply organizational behavior leadership philosophies...
-
Two wire loops are side by side, as shown. The current I 1 in loop 1 is supplied by an external source (not shown) and is clockwise as viewed from the right. While I 1 is increasing, what is the...
-
Kenneth Hubbard has prepared the following list of statements about managerial accounting and financial accounting. 1. Financial accounting focuses on providing information to internal users. 2....
-
If A is a 4 4 matrix of rank 1 and = 0 is an eigenvalue of multiplicity 3, then A is defective. In the case of a true statement, explain or prove your answer. In the case of a false statement, give...
-
The rank of an m n matrix A is equal to the number of nonzero singular values of A, where singular values are counted according to multiplicity. In the case of a true statement, explain or prove...
-
If A is symmetric positive definite, then A is nonsingular and A-1 is also symmetric positive definite. In the case of a true statement, explain or prove your answer. In the case of a false...
-
Find the integrating factor for the given 1-order linear non-homogeneous ordinary differential equation. Do not solve the ordinary differential equation. y xdx-xdy-x+dx + dx
-
[Bush] Consider the following snippet of code. (Assume that input strings, including null terminator, will always fit within the size 255 array.) char* to_upper_case(char* original) { char...
-
50. Show that if f(x) = a,x" + a-1x+...+x+ ao, a,..., a-1, and a,, are real numbers and where 0, then f(x) is O(x"). an # Big-O, big-Theta, and big-Omega notation can be extended to functions in more...
Study smarter with the SolutionInn App