Show that if A is nonsingular and diagonalizable, then A-1 is diagonalizable?
Question:
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 90% (10 reviews)
If A is diagonalizable then there is a ...View the full answer
Answered By
Branice Buyengo Ajevi
I have been teaching for the last 5 years which has strengthened my interaction with students of different level.
4.30+
1+ Reviews
10+ Question Solved
Related Book For
Elementary Linear Algebra with Applications
ISBN: 978-0132296540
9th edition
Authors: Bernard Kolman, David Hill
Question Posted:
Students also viewed these Linear Algebra questions
-
Show that if A is nonsingular then adj A is nonsingular and (adj A)-1 = det(A-1)A = adj A-1
-
Let A be a diagonalizable matrix with characteristic polynomial (a) If D is a diagonal matrix whose diagonal entries are the eigenvalues of A, show that = p(D) + a1Dn + a2Dn-1 + an+1I = 0 (b) Show...
-
Show that if A is a symmetric positive definite matrix then A is nonsingular and A-1 is also positive definite.
-
1. Arrays - Create a program that asks for 10 integers. Display a navigation menu and perform the following: A. Display the numbers. B. Display the values of even indexes (0th, 2nd, 4th, 6th, etc.)...
-
In the Third Battle of Bull Run, for which a CPM/PERT network was developed in Problem 9-15, General Beauregard would have won if his preparations had been completed in 15 days. What would the...
-
Comparative financial statements for Weaver Company follow: Weaver Company Income Statement For This Year Ended December 31 During this year, Weaver sold some equipment for $20 that had cost $40 and...
-
Explain how and why physician incompetency is reported.
-
1. How does virtualization work? In your own words, describe what you understand about the virtualization process as depicted in the case. 2. In software development and testing, where does...
-
RRumba Ltd is a small company based in St . Ann, Jamaica. They currently employ ten people.They are seeking to calculate their payroll costs for the month of December 2 0 2 3 . Sasha, the supervisor,...
-
Scenario: You are an accountant at Rock Castle Construction. Your boss has asked that you create general purpose financial statements from a trial balance that he has created for you. Additionally,...
-
Prove that if A is diagonalizable, then (a) AT is diagonalizable, and (b) Ak is diagonalizable, where k is a positive integer?
-
Let 1, 2,....., k be distinct eigenvalues of an n ( n matrix A with associated eigenvectors x1, x2 ..... xk. Prove that x1, x2, ..... , xk are linearly independent?
-
According to sales information in the first quarter of 2016, 2.7% of new vehicles sold in the United States were hybrids. This is down from 3.3% for the same period a year earlier. An analysts review...
-
explain in five sentences and show the work : Janis Company recorded the following transactions in the current accounting period: Collected $200,000 from customers Paid $50,000 in salaries Paid...
-
Assume Bargain.com began March with 8 units of inventory that cost a total of $ 152. During March, Bargain.com purchased and sold goods as follows: LOADING...(Click the icon to view the purchases and...
-
(7) Line is passing through two points (2,-5) and (-3,0), and Line 12 is the graph of the equaion x-y=7. Are they parallel to each other? perpendicular to each other? or neither? Show necessary work....
-
Find the x- and y-intercepts of x-4y=-8. Provide your answer below: X-intercept: V-intercept:
-
1. What are antibodies? A) Proteins that activate complement against microbes B) Proteins that prevent attachment of microbes to mucosal surfaces C) Proteins that increase the concentration of gamma...
-
What features make preferred stock similar to debt? Similar to common stock?
-
If 2 5 9 - k 5 8 = 2 5 8 , what is the value of k?
-
Using synthetic division, determine whether the numbers are zeros of the polynomial function? a. -3i, 3; f (x) = x3 - 4x2 + 9x - 36 b. - 1,5; f(x) = x6 - 35x4 + 259x2 - 225
-
Factor the polynomial function f (x). Then solve the equation f (x) = 0. a) h(x) = x3 - 2x2 - 55x + 56 b) g(x) = x4 - 2x3 - 13x2 + 14x + 24.
-
How is the range of polynomial function related to the degree of the polynomial?
-
The Acme Rocket Car Company has a $9000 note due in 5 years. How much should be deposited at the end of each quarter in a sinking fund to pay off the note if the interest rate is 6.3%.
-
If you put $100 per month in account earning 3% annual interest, compounded monthly for 10 years, how much can you withdraw from that account each month for the next year?
-
Solve for X X x= 22 33 33 -22
Study smarter with the SolutionInn App