True or false: for a transformation on an n dimensional space, if the minimal polynomial has degree

Question:

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

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

See More Books

Question Posted: Jun 01, 2016 02:29 AM

See More Questions

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
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
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...
Violet Flowers expects to sell 3,000 plants a month. She estimated the following monthly costs: Variable Costs $9,000 Fixed Costs $15,000 During her second month of operation, Violet would like to...
Three students have each saved $1,000. Each has an investment opportunity in which he or she can invest up to $2,000. Here are the rates of return on the students investment projects: Harry.............
Times of shared crisis, such as the September 11, 2001, terrorist attack on the World Trade Center, can induce many companies that have been bitter rivals to put their competitive spirit aside and...
What distinguishes a current liability from a long-term liability?
1. According to Porter's framework, what generic strategy was Airborne Express pursuing? Was this a sound strategy in the context of the air express industry? 2. What were the strengths of Airborne...
Ouyang Inc acquired a 80% interest in Huang Inc's 10,000 outstanding shares in Jan 1, 20X1. The consolidated net income for 20x2 after all adjustments was $200,000 Annual excess amortization of MV...
High Point Furniture Company (HPF) manufactures high-quality furniture for sale directly to exclusive hotels, interior designers, and select retail outlets throughout the world. HPF's products...
The first two items of this question are review. (a) Prove that the composition of one-to-one maps is one-to-one. (b) Prove that if a linear map is not one-to-one then at least one nonzero vector...
Let f(x) be a polynomial. Prove that if A and B are similar matrices then f(A) is similar to f(B). (a) Now show that similar matrices have the same characteristic polynomial. (b) Show that similar...
Warfare has largely changed from the army-against-army model to one of army-against-insurgent. The freedom fighters/insurgents are innovative and make weapons from unconventional items, which can be...
The four forces, 400, 500, 600 and 700N are acting along the edges of a 0.8m cube as shown. Represent the resultant of these forces by 1) A force Fr through the point A 2) A couple moment Mr (give...
Problem 1. What is the degree of freedom of the following mechanism? Sliding joint Sliding joint
PILAR Manufacturing Co. has three producing departments (P, I, & L), and two service departments (A&R). The total estimated departmental expenses for 2021 before distribution of service department...
1. A volleyball player serves the ball at point A with an initial velocity vo at an angle of 20 to the horizontal. (a) Determine the minimum velocity of the serve such that the ball will just clear...
9.50. Dipping low ** A top with I = 3/3 floats in outer space and initially spins around its x3 axis with angular speed w3. You apply a strike at the bottom point, directed into the page, as shown in...
Prove the formula log a b log b a = 1 for all positive numbers a, b with a 1 and b 1.
An annual report of The Campbell Soup Company reported on its income statement $2.4 million as equity in earnings of affiliates. Journalize the entry that Campbell would have made to record this...
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
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...
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
Your firm is planning to invest in an automated packaging plant. Harburtin Industries is an all - equity firm that specializes in this business. Suppose Harburtin ' s equity beta is 0 . 8 7 , the...
Ned Allen opened a medical practice in Los Angeles, California, and had the following transactions during the month of January. (Click the icon to view the January transactions.) Journalize the...
do you need more information or are you working on this? Irene Watts and John Lyon are forming a partnership to which Watts will devote one- half time and Lyon will devote full time. They have...

True or false: for a transformation on an n dimensional space, if the minimal polynomial has degree

Question:

Step by Step Answer:

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

Linear Algebra

Students also viewed these Linear Algebra questions