Question: For matrices show that AB = BA. A = a b ba and B = c d d c

For matrices

A = a b ba and B = c d d c

show that AB = BA.

A = a b ba and B = c d d c

Step by Step Solution

★★★★★

3.40 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

ANSWER To show that AB BA we need to compute both products and verify that they are equal The produc... 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 Basic Technical Mathematics Questions!

Q:

Let R be an ordered ring with set P of positive elements, and let

Q:

Let R be an ordered ring with set P of positive elements, and let

Q:

Let R be an ordered ring with set P of positive elements, and let

Q:

If A and B are n n diagonal matrices, show that AB = BA.

Q:

For problems 1 through 4 let A = [1 1. Find A + B 5. For problems 5 and 6, solve for X, given 7. 8. 2X=2A - B 9. 10. -1] and B = [2 -1] 12 -1] [-1 8] Find AB 2. Find A - B 1 For problems 7 through...

Q:

Problem 8 (15 points). Let A, B E Rxxn a. (3 points) Prove that if I - AB is invertible then I - BA is invertible. Note: We do not know anything about invertibility of A and B. b. (3 points) Prove...

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:

Question 3 (a) Given the matrices, P=6) 2.-C; find (0) PQ [4 marks) (1) OP (iii) Write a possible relationship between Pand Q. [4 marks] [4 marks) (b) 0 Find a and bit 444 3.1+ =))-69 [4 marks) (m)...

Q:

1. Let {a1, a2,....an} and {b1, b2, ...bn} be bases for R^n and let A, B be the corresponding matrices with these vectors as columns, respectively. Find the matrix for the unique linear map T: R^n...

Q:

Let A, B 6 RH)\"1 two symmetric matrices that verify AB = BA. Show that there exists an orthogonal matrix P and two diagonal matrices fie. matrices with zeros outside of the diagonal) DJ?" such that...

Q:

How does an advertising professional conduct secondary research, and where does one go to get started?

Q:

You are an internal auditor with Nar Tani Sdn Bhd. The Chief Audit Executive has been assigned to you the task of auditing the companys internal control for the payroll process. The company is still...

Q:

MM Proposition II states that: 1 ) the expected return on equity is positively related to leverage 2 ) the required return on equity is a linear function of the firm's debt to equity ratio 3 ) the...

Q:

If a random variable X takes two values x1, x2 with x1 x2, then Var(X) > [E(X)]2.

Q:

Christine took a world cruise that had a cash price of $23,000 by paying 10% down and financing the balance with a 48-month fixed installment loan. The APR on the loan was 6.0%. Before making the...

Q:

Anna is buying a house selling for $225,000. To obtain the mortgage, Anna is required to make a 15% down payment. Anna obtains a 30-year mortgage with an interest rate of 5%. (a) Determine the amount...

Q:

Toni is buying a condominium selling for $135,000. To obtain the mortgage, Toni is required to make a 20% down payment. Toni obtains a 15-year mortgage with an interest rate of 3.0%. (a) Determine...

Q:

10000301 SmartBook t.com/flow/smartbook html?role assignment Oute=2020-06-250XBASAD1259665313&shook Accord Business Math. Practical Business Math Procedures. Slater, Wittry, 12, Compound Interest and...

Q:

In 2019, Nina contributes 8 percent of her $144,000 annual salary to her 401(k) account. She expects to earn a 8 percent before-tax rate of return. Assuming she leaves this (and any employer...

Q:

Reporting Cash Jenkins Company has the following items at year-end. Currency and coin in safe. $3,900 Funds in savings account (requires $2,000 compensating balance) 25,650 Funds in checking account...