Question: Find all the 2 2 matrices that commute (that is n, AB = BA) with

Find all the 2 × 2 matrices that commute (that is n, AB = BA) with

-1] 2

Step by Step Solution

★★★★★

3.41 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a b 11 then the two matrices commute if Let 4 2 and ... 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

Students Have Also Explored These Related Modern Engineering Mathematics Questions!

Q:

Problems 31-38 illustrate ways in which the algebra of matrices is not analogous to the algebra of real numbers. (a) Suppose that A and B are the matrices of Example 5. Show that (A + B)(A - B) A 2...

Q:

(a) Show that if Is a 2 à 2 diagonal matrix with α b, then the only matrices that commute (under matrix multiplication) with D are other 2 à 2 diagonal matrices. (b) What...

Q:

Commuters In Problems 1-2, find all the 2 x that commute with the given matrix. 2 matrices. 1. Where a ( R 2. Where k ( R, k ( 0 3 0 0 0 0

Q:

1. Prove the following statements: (a) If is an eigenvalue of a non-singular matrix A, then where A denotes the determinant of the matrix A. |A| is an eigenvalue of adj A, (b) If A and B are two...

Q:

In Example 5, in A change 2 to 2 and 3 to 3, in B change 2 to 2 and 3 to 3, and then do the multiplications. Data from Example 5 For the given matrices A and B, show that AB = BA = I, and therefore...

Q:

1.1 1.2 1.3 Determine the value(s) of x which makes matrix A below singular. 1 x 3] A= 4 5 6 x 8 9 1.4 Solve the equation: 12 3 A= (6 marks) Cassy Bookstore, a bookshop sell books. In January, it...

Q:

[1 markfor completion] Let =2 1 01 Find all 22 matrices B with the property that AB = BA. [Hint: if you find a matrix B with this property, then all multiples of B will have the property. So your...

Q:

Create one Word document and specify solutions to questions of Hw 3.1 and 3.2 in it. Specity file names for HW 3.2 Q1 Home Work 3.1: Solve this part of the assignment without using MATLAB (except for...

Q:

By using the 2 following matrices: find: 0 5 4 a) A-B b) B.A c) 2A + Bt et B = 0 -21

Q:

In Problem determine whether the statement is true or false. There exist two 2 x 2 matrices A and B such that AB BA.

Q:

Draw the structure of the PTH derivative that would he formed on Edman degradation of angiotensin II (Problem 26.12).

Q:

What is a slide error?

Q:

Question 2 1 ( 1 point ) Canaccord Genuity is a brokerage and banking company that operates in four main divisions: trading, wealth management, investing, and banking. Canaccord Genuity can be...

Q:

Why are assets depreciated and what factors infl uence the decision as to how they may be depreciated?

Q:

Use (x 2 ) as calculated in Problem P18.17 as a measure of the vibrational amplitude for a molecule. What fraction is of the 127.5-pm bond length of the 1 H 35 Cl molecule for n = 0, 1, and 2? The...

Q:

Evaluate x, for the ground state (n = 0) and first two excited states (n = 1 and n = 2) of the quantum harmonic oscillator.

Q:

Using your results for Problems P 18.11, 17, 29, and 32, calculate the uncertainties in the position and momentum 2 p = p 2 p 2 2 x = x 2 x 2 for the ground state (n = 0) and first two excited...

Q:

) Create the SQL statements for displaying the results for each of the following scenarios in the Academic Database. Save these statements in a script called M06_LastNameFirstName_ Queries (where...

Q:

Download and complete the worksheet Rising to leadership. Share in the Moodle discussion three steps you intend to take to achieve your career goals.

Q:

What is a polymer?I am not satisfy give downvote