Question: True or false: for a transformation on an n dimensional space, if the minimal polynomial has degree n then the map is diagonalizable.

True or false: for a transformation on an n dimensional space, if the minimal polynomial has degree n then the map is diagonalizable.

Step by Step Solution

★★★★★

3.45 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

This is false The natural example of a nondiagonaliza... View full answer

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

Document Format (1 attachment)

Word file Icon

961-M-L-A-L-S (5808).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Q:

True or false: A linear transformation L: R2 R2 maps (a) Straight lines to straight lines (b) Triangles to triangles (c) Squares to squares (d) Circles to circles (e) Ellipses to ellipses

Q:

True or false: An affine transformation takes (a) Straight lines to straight lines (b) Triangles to triangles (c) Squares to squares (d) Circles to circles (e) Ellipses to ellipses

Q:

Tell if each statement is true or false for a simple regression. If false, explain. a. If the standard error is syx = 3,207, then a residual ei = 4,327 would be an outlier. b. In a regression with n...

Q:

,, kindly solve Consider the Linear Regression Model 1. For any X = x, let Y = x8 + U, where B E R*. 2. X is exogenous. 3. The probability model is { f (u; ) is a distribution on R : E, [U] = 0, Var,...

Q:

,. solve the following Consider the following models describing the relationship between monthly return on the Standard & Poor's 500 stock market index (rsp500), the re- turn on three-month T-bills...

Q:

Math 636 Final - Quiz Component 1. The system of linear equations 2x2 x3 = 3 2x1 + x2 + 2x3 = 1 x1 + x2 + 3x3 = 2 (a) is consistent with a unique solution. (b) is consistent with infinitely many...

Q:

Please Answer True Or False. No Need For Explanation. Thank You Very Much!!! 3. Let A and B be two square matrices over a field F. Assume that A and B have the same characteristic polynomial. Assume...

Q:

plz write the detail and also tell method of work ASAP No.1 Let S be an endomorphism of a finite dimensional vector space V over a field F whose characteristic polynomial is not equal to its minimal...

Q:

Algorithms in Artificial Intelligence (or, the old name: Introduction to Algorithmic Decision Making) Part 1 Based on slides by David Sarne and Lirong Xia Course Tentative Schedule Introduction...

Q:

explicate the operation and gate level circuit of a multiplexer. How may it be used in conjunction with a demultiplexer to establish alternative connections across a unidirectional path between two...

Q:

A barrel of oil is leaking into a stream that is feeding into a lake. The barrel has been leaking for 6 hours and is found still containing 300 kg of oil. Measurement of the lake were taken when the...

Q:

Apple-way Company had the following balances as of December 31, 2014: Total Current Assets.................................................. $ 87,000 Total Long-Term...

Q:

Assignment 2 Assume there is no arbitrage. SHOW and explain how the risk neutral probability p = 1 r - d u - d in Page 6 of Shreve ( additional chapter ) cannot have certain values i . e . what are...

Q:

Simplex Algorithm Gauss file(s) max_simplex.g Matlab file(s) max_simplex.m Suppose that the observations yt = {3.5, 1.0, 1.5} are iid drawings from the exponential distribution f(y; ) = 1 exp h y ...

Q:

Let A = LU, where L is lower triangular with l's on the diagonal and U is upper triangular. How many additions/subtractions and multiplications/divisions are necessary to solve

Q:

Given (a) Solve the system Ax = b using complete pivoting. (b) Let P be the permutation matrix determined by the pivot rows and let Q be the permutation matrix determined by the pivot columns. Factor...

Q:

Theorem 7.4.2 states that Prove this in two steps. (a) Show first that (b) Construct a vector x whose coordinates are each ± such that Allcmax layl di laijl = max

Q:

Question 3 (1 point) A company pays a constant $8.75 dividend on its stock. The company will maintain this dividend for the next 16 years and then will cease paying dividends forever. If the required...

Q:

Please provide answers to the multiple choice questions above using the answer choices below... Question 1 a) -274M b) -1117M c) -279M d) -277M Question 2 a) -239M b) -1633M c) -1907M d) -516M...

Q:

You've observed the following returns on Crash-n-Burn Computer's stock over the past five years: 2 percent, 15 percent, 23 percent, 13 percent, and 16 percent. What was the arithmetic average return...