Suppose A is invertible and orthogonally diagonalizable. Explain why A 1 is also orthogonally diagonalizable.
Question:
Suppose A is invertible and orthogonally diagonalizable. Explain why A–1 is also orthogonally diagonalizable.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
Since A is orthogonally diagonalizable ...View the full answer
Answered By
Rustia Melrod
I am a retired teacher with 6 years of experience teaching various science subjects to high school students and undergraduate students. This background enables me to be able to help tutor students who are struggling with the science of business component of their education. Teaching difficult subjects has definitely taught me patience. There is no greater joy for me than to patiently guide a student to the correct answer. When a student has that "aha!" moment, all my efforts are worth it.
The Common Core standards are a useful yardstick for measuring how well students are doing. My students consistently met or exceeded the Common Core standards for science. I believe in working with each student's individual learning styles to help them understand the material. If students were struggling with a concept, I would figure out a different way to teach or apply that concept. I was voted Teacher of the Year six times in my career. I also won an award for Innovative Teaching Style at the 2011 National Teaching Conference.
4.90+
4+ Reviews
10+ Question Solved
Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
Question Posted:
Students also viewed these Mathematics questions
-
A matrix A is orthogonally diagonalizable if there is an orthogonal matrix P that diagonalizes it. Show that the matrix is orthogonally diagonalizable. Synunetric matrices have orthogonal...
-
Read the mini case of "Very Good Ltd" before answering Question 1 and Question 2. Very Good Ltd Very Good Ltd (VGL) is a company in Hong Kong selling kitchen equipment and accessories. The following...
-
Let A and B be orthogonally diagonalizable n ( n matrices and let c be a scalar. Use the Spectral Theorem to prove that the following matrices are orthogonally diagonalizable: (a) A + B (b) cA (c) A2
-
In the expression 2 4 , the number 2 is called the______and 4 is called the_______.
-
At 31 December 20X8, Security Controls Limited reported gross accounts receivable of $ 1,240,900. Investigation showed the following: a. Customers are permitted to return 2% of annual sales for full...
-
Assume that we want to use the same sample data from Exercise 7 to test the claim that the standard deviation of all drawn numbers is less than 15.0. Why cant we use a x2 test with the methods...
-
Refer to the information from QS 21-18. Compute the variable overhead spending variance and the variable overhead efficiency variance and classify each as favorable or unfavorable. Data From QS 21-18...
-
1. List possible objects in the registration system, including their attributes and methods. 2. Identify possible use cases and actors. 3. Create a use case diagram that shows how students register....
-
Your client, Gabe, needs to calculate the business part of his real estate taxes. How can Gabe calculate the business part of his real estate taxes? Unset starred question Add the real estate taxes...
-
Show that if B is m x n, then B T B is positive semidefinite; and if B is n x n and invertible, then B T B is positive definite.
-
Show that if an n x n matrix A is positive definite, then there exists a positive definite matrix B such that A = B T B. [Write A = PDP T , with PT = P -1 . Produce a diagonal matrix C such that D =...
-
The disk has mass M and is originally spinning at the end of the strut with angular velocity . If it is then placed against the wall, for which the coefficient of kinetic friction is k, determine the...
-
The action of the British government during the Opium War is an example of unilateral political action. How can you apply the Realistic Analytical perspective to explain why the drug lords of Central...
-
Consider two identical economies, A and B , that differ only in their known growth rates of the money supply given by zA and zB. Assume zA > zB . Where is output higher? Assume there are 150 initial...
-
How can bash shell scripting improve resource utilization and process management in Unix systems?
-
Scientists, non-profit groups, and journalists have studied and published numerous articles, reports, and news stories about environmental impacts related to economic activity, such as climate...
-
3. If x + y = 12 and xy = 27, find the value of x +y.
-
From the set {1, 2, 3,... , n}, k distinct integers are selected at random and arranged in numerical order (from lowest to highest). Let P(i, r, k, n) denote the probability that integer i is in...
-
On January 2, 20X3, Sheldon Bass, a professional engineer, moved from Calgary to Edmonton to commence employment with Acco Ltd., a large public corporation. Because of his new employment contract,...
-
Suppose that every student in this class scored 5 points lower on the second exam than on the first exam. Consider the correlation coefficient between first exam score and second exam score. What...
-
Suppose that you record the daily high temperature and the daily amount of ice cream sold by an ice cream vendor at your favorite beach this summer, starting on Memorial Day weekend and ending on...
-
Six statements about what you can learn from the correlation coefficient are listed below. Label each statement, choosing from A (can always tell), N (can never tell), or S (can sometimes tell). For...
-
Describe the stages involved in the Agile software development methodology.
-
1. You are on a pair of water skis, being towed by a boat. The rope you are holding onto makes a 10 angle with the horizontal. Water exerts a resistive force (think of this like friction) of 140 N on...
-
The following lots of Commodity Z were available for sale during the year. Beginning inventory First purchase 7 units at $47 18 units at $51 Second purchase Third purchase 24 units at $21 19 units at...
Study smarter with the SolutionInn App