Question: 3. If a 4x 4 matrix A has eigenvalues 1,-1, 2 and -2, then answer the following questions. (a) Compute the determinant of A.

3. If a 4x 4 matrix A has eigenvalues 1,-1, 2 and -2, then answer the following questions. (a) Compute the determinant of A. (b) Compute the determinant of AAT. (c) Compute the trace of A. (d) Compute the eigenvalues of A. (e) Compute the eigenvalues of A +31. (f) Is A invertible? If so, compute its eignevalues A-. (g) Compute the eigenvalues of A-3 (h) Compute the eigenvalues of (A+27)- -[2])--[9) ---=[ ] B= and C= (4 points) Lef A = Compute the following matrices if possible. If the operation is not possible, enter DNE. (a) Compute-3A [[6,-21],[-6,9]] (b) Compute 2A +3B [[-13,22] [16,6]] (c) Compute 5B-4C IDE (d) Compute AC IDE (e) Compute CA (f) Compute AB (9) Compute A2. [1-4,49),(4,-9]] (h) Compute C [1,64] [9,0] [25.-1]]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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 Computer Network Questions!

Over the past ten years, large company stocks have returned 11.2%. The risk premium on these stocks was 4.8% and the inflation rate was 3.7%. What was the risk free rate of return?

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

answer all questions as instructed below. make sure you have attended all questions .Comparative Architectures (a) Describe the organisation of a two-level branch predictor that makes use of a global...

Please use the csv file to use for the questions DATAl-_ HeavenlyChocoIates Pages Amount Customer Day Browser Time (min) Viewed Spent (S) 1 Mon Chrome 1 2.0 4 54.52 2 Wed Other 1 9.5 6 94.90 3 Mon...

1. Blue Spruce Corp. purchased a new machine on October 1, 2019, at a cost of $134,000. The company estimated that the machine will have a salvage value of $20,000. The machine is expected to be used...

Problem 19-1 (Part Level Submission) The following information is available for Skysong Corporation for 2017. 1. Depreciation reported on the tax return exceeded depreclation reported on the income...

Symbolic answers must be entered using notation similar to the examples given below. If you enter decimal numbers for questions that indicate that a symbolic answer is required, it will be marked as...

My id ends in 1. DE 01_FINAL_LinAlgebra_Spring202 X + Dann C:/Users/35989/Desktop/01_FINAL_%20LinAlgebra_Spring2021.pdf 3 a a + | D A V 3. Write a basis for the orthogonal complement pl. In each case...

If a = 4.5m, determine the magnitudes of P and Q required to maintain the cable in the shape shown. -6 m---6 m-- -6 m-6 m 3 m 180 LN

Assume that there are three classes-upper, middle, and lower-and that social mobility behaves as follows: 1. Of the children of upper-class parents, 70% remain upper-class, whereas 10% become...

Given f ( x ) = 3 x 3 - 4 x + 2 is invertible, find the slope of the tangent line to the curve f - 1 ( x ) at x = 1

Assume an investor has $100 and stock ABC is priced $8, and the risk-free offer zero return. Stock ABC can go up by 100% or down by 50% with probability .5. The investment period is three periods...

Motown Corporation enters into an installment sale with Max Corporation in 20X2. Motown recognizes the sale on an accrual basis (when sale is complete) for book purposes and on an installment sale...

200 mL of an ideal gas is measured to have a mass of 19.57 grams at a temperature of 25 C and 1 atm pressure. What gas is this? D View hint for Question 48

200 ml of an ideal gas is measured to have a mass of 19.57 grams at a temperature of 25 C and 1 atm pressure. What gas is this?

One of the most important program leadership functions is: Group of answer choices Providing supply chain management Watching to make sure people don't screw up Real estate development to secure...

A child is brought to the emergency room in a semiconscious state with a high fever. Earlier, he had complained of a stiff neck and headache. A tap of spinal fluid is performed and tested. A Gram...

Figure 7.9. Draw a growth curve for a psychrotroph on the following diagram. | Psychrophile Mesophile Thermophile Optimum Minimum Maximum -15-10 50 5 10 1520253035 4045505560 8570 75 808590...

Account for the several inflammatory symptoms that occur in the injection site when one has been vaccinated against influenza and tetanus.

When is an S corporation required to pay the excess net passive income tax?

Is a shareholder allowed to increase her basis in her S corporation stock by her share of the corporation's liabilities, as partners are able to increase the basis of their ownership interest by...

What does the accumulated adjustments account represent? How is it adjusted year by year? Can it have a negative balance?