Question: For the matrices (a) Evaluate (A + B) 2 and A 2 + 2AB + B 2 (b) Evaluate (A + B)(A B)

For the matrices

A = and B- [J 1 0


(a) Evaluate (A + B)2 and A2 + 2AB + B2

(b) Evaluate (A + B)(A – B) and A2 – B2

Repeat the calculations with the matrices

A = 5 2 and B 2 -2 -5

and explain the differences between the results for the two sets.

A = and B- [J 1 0

Step by Step Solution

★★★★★

3.32 Rating (149 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a The two products give and are clearly unequal b The two products give and again are unequal ... 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:

Explain why each of the following algebraic rules will not work in general when the real numbers a and b are replaced by n n matrices A and B. (a) (a + b)2 = a2 + 2ab + b2 (b) (a + b)(a - b) = a2 -...

Q:

redjson1.json file { "2018-01-01T00:00:00-05:00": { "visibility": { "prevailing": 1.75, "units": "SM" }, "wind": { "speed": 13.0, "crosswind": 5.0, "units": "KT" }, "temperature": { "value": -15.0,...

Q:

Two diploid species of closely related frogs, which we will call species A and species B, were analyzed with regard to genes that encode an enzyme called hexokinase. Species A has two distinct copies...

Q:

QUESTION 1 Order of a Matrix Choose one . 4 points Find the order of matrix 1 3 5 -1 6 2 A= 9 -2 3 5 10 O AXA O 16 O A QUESTION 2 V Matrix Entry Value Choose one . 4 points Find the value at entry my...

Q:

Please provide detail steps. R=9 in part (b). (a) If A is a 2x2 matrix such that tr (A) =3 and tr( A? ) =5, find det (A). (4 marks) (b) If B and C are 5x5 matrices such that det (B) =-2 and det (C) =...

Q:

a) Find the determinants of the following matrices: (1 3* A = B = 2 1 - 1 1 3 2 1 1 b) Which one of these matrices has an inverse matrix? c) Find the inverse of these matrices when it exists. d)...

Q:

In details please $1 (a) (2 pts) Is the set 31 of vectors a: = 2:2 such that :52 = 2:1 and 2:3 2 0, a $3 subspace of 2R3? Justify your answer. a b c d d = 3!) + c, a subspace of the 2 X 2 matrices?...

Q:

). (Basic) Repeat the previous question on the input, a:1, b: 2, c: 4, d: ), e: 6, f:9. ). (Basic) Repeat the previous question on the input, a:1, b: 2, c: 4, d: ), e: 6, f:9

Q:

r questions 21 & 22, solve 12. AF 11. F2 8 2 2 IN Wil - 6 O - 1 14. E 13. Dis Determinant = 11 ( 30) For questions 15 - 20, refer to the following matrices. A - 3 1 B = [2 3 C=[5 2] D= B34] 15, Find...

Q:

Given the following matrices: A = a 1 b 2 1 B 4 2 Where a, b are integers and a * b The determinant of [AB] is (round your answer to 2 decimal places) Therefore, [AB]-1

Q:

Suppose that you are reviewing a price sheet for bonds and see the following prices (per $100 par value) reported. You observe what seem to be several errors. Without calculating the price of each...

Q:

The Village of Northern Springs adopted the following general fund budget for the year ended December 31, 2021: Revenues: es Permits, licenses, and fees Intergovernmental Total budgeted revenues...

Q:

derive the covariance and correlation coefficients between 2 gaussian distributions.

Q:

Learning Objective 1 Identify the three main pricing strategies, and discuss the importance of understanding customer-value perceptions, company costs and competitor strategies when setting prices....

Q:

Predict the number of unpaired electrons and the ground-state term for the following a. BO b. LiO

Q:

How can FRET give information about the tertiary structure of a biological molecule in solution?

Q:

Photoionization of a diatomic molecule produces a singly charged cation. For the molecules listed here, calculate the bond order of the neutral molecule and the lowest energy cation. For which of the...

Q:

In January 2022, the management of Kinzie Company concludes that it has sufficient cash to permit some short-term investments in debt and equity securities. During the year, the following...

Q:

Firm pays a current dividend of $1.00 Growth rate is 20% for next two years Growth then declines over 6 years to a stable rate of 5% Required return is 10% Current stock price is $50 Assumes three...

Q:

Chapter 7 Sage Aircare services answers- journal entries, trail balance, balance sheet