Question: Determine all 2 2 matrices A such that AB = BA for any 2 2 matrix B.

Determine all 2 × 2 matrices A such that AB = BA for any 2 × 2 matrix B.

Step by Step Solution

★★★★★

3.46 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Let be such that AB BA for a... 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

951-M-L-A-L-S (6777).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Q:

Find three 2 2 matrices A such that (i) A2 = I; (ii) A2 = A.

Q:

Use Theorem 5.2.1 to determine which of the following are subspaces of Mnn. (a) All n x n matrices A such that AT = -A (b) All n x n matrices A such that the linear system Ax = 0 has only the trivial...

Q:

Show that there are no 2 2 matrices A and B such that AB - BA = 12.

Q:

%% Lab 2 - Your Name - MAT 275 Lab %% Example code % Example 1 % NOTE: Delete examples before submission. A = [1 0; 0 -1] A = [1, 0; 0, -1] % NOTE: The two matrices above are the same. We can...

Q:

I need to see how 28 36 and 47 are done please. 35. (a) then so is A + B. 17. Prove Theorem 3.2(a)-(d). 18. Prove Theorem 3.2(e)-(h). (b) Prove that if A is a symmetric non matrix, the is KA for any...

Q:

All questions. 05:50:42 VA; 25% ' ASSIGNMENTNM1.pdf IQ 0+ Numerical Methods-Assignment-l Mathematical Prelimanaries, Taylor's Theorem, Order of Convergence (1) Let L be a real number and let {an} be...

Q:

Let A, B and O be as below. 3 A 3 B (a) (4 marks) Calculate the following matrix: 2(AB) = (b) (4 marks) Calculate the following matrix: CBA5 y such that AB = BA where B is the matrix 0 5 Find all...

Q:

Let A, B and O be as below. 3 A 3 B (a) (4 marks) Calculate the following matrix: 2(AB) = (b) (4 marks) Calculate the following matrix: CBA5 y such that AB = BA where B is the matrix 0 5 Find all...

Q:

Question Setting 2. Partitioned matrices A matrix A is a (2 x 2) block matrix if it is represented in the form where each of the Ai are matrices. Note that the matrix A need not be a square matrix;...

Q:

Q2 part a to e parts..need solution in neat and clear handwriting on A4 page ASAP THEOREM 4.2.1 If W is a set of one or more vectors in a vector space V, then W is a subspace of V if and only if the...

Q:

List the functions that a PMO may perform.

Q:

Explain why, according to the pecking order theory, firms prefer internal financing to external financing.

Q:

Are Variable Costing Income Statements for "internal" purposes only? Or , can / should these be shared with external stakeholders?

Q:

Use the data in SDATA.XLS and statistical software to run the following regression: where GPA = grade point average ST = study time per day SAT = SAT score MALE = 1 if the student is male; 0...

Q:

Find all values of a and b for which A and B are both not invertible Aa+b-10 0 3 9 0 2a-36-7

Q:

Show that, A and B commute if a - d = 7b 5 1

Q:

Use Gauss-Jordan elimination to solve for x and y in terms of x and y. x = 3/5 x - 4/5 y y = 4/5 x + 3/5 y

Q:

A trial evaluated the fever-inducing effects of three substances. Study subjects were adults seen in an emergency room with diagnoses of the flu and body temperatures between 100.0 and 100.9F. The...

Q:

Assume Evco, Inc., has a current stock price of $ 4 6 and will pay a $ 2 . 1 5 dividend in one year; its equity cost of capital is 1 7 % . What price must you expect Evco stock to sell for...

Q:

Problem 10-11 MIRR and NPV Your company is considering two mutually exclusive projects, X and Y, whose costs and cash flows are shown below: Year X Y 0 -$5,000 -$5,000 1 1000 4,500 2 1500 1500 3 2000...