Test the inverse formula of Theorem 8 for a random 4 x 4 matrix A. Use your
Question:
Test the inverse formula of Theorem 8 for a random 4 x 4 matrix A. Use your matrix program to compute the cofac- tors of the 3 x 3 submatrices, construct the adjugate, andset B= (adj A)/(det A). Then compute B - inv(A), where inv(A) is the inverse of A as computed by the matrix program. Use floating point arithmetic with the maximum possible number of decimal places. Report your results.
Data from in Theorem 8
Transcribed Image Text:
An Inverse Formula Let A be an invertible n x n matrix. Then A = 1 det A adj A
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (8 reviews)
ANSWER To test the inverse formula of Theorem 8 for a random 4 x 4 matrix A we need to follow these ...View the full answer
Answered By
Collins Njuguna
I graduated from Maseno University with a Bachelor of Science in Applied Statistics. After graduation, I started tutoring students in mathematics. My experience in mathematics education is extensive and varied. I have taught a wide range of topics, including algebra, geometry, trigonometry, calculus, statistics, probability, and computer science. I have also worked with students of all ages and backgrounds, from elementary school to college.
My teaching method is based on the idea of hands-on learning. I believe that students learn best when they are actively engaged in the learning process, so I focus on giving students the tools they need to explore the material on their own. I also emphasize the importance of practice and review, as these are essential for mastering math concepts.
I have also developed several online and in-person courses on mathematics. My courses are designed to help students learn mathematics in an efficient and comprehensive way, and I use a variety of activities and exercises to ensure that my students are engaged and motivated.
Overall, my passion for mathematics and teaching has allowed me to be a successful tutor and educator in the field. I am confident that my experience will help your students master the mathematics they need to succeed.
0.00
0 Reviews
10+ Question Solved
Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
Question Posted:
Students also viewed these Mathematics questions
-
Test Cramer's rule for a random 4 ( 4 matrix A and a random 4 x 1 vector b. Compute each entry in the solution of Ax = b, and compare these entries with the entries in A-1b. Write the command (or...
-
Construct a random 4 x 4 matrix A and test whether (A + I) (A - 1) = A - I. The best way to do this is to compute (A + 1)(A - 1) - (A - I) and verify that this difference is the zero matrix. Do this...
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
Q4. a- In a uniform electric field, what factors does the electrical potential energy depend on? b- What is the difference between APE electric and PE electric?
-
Marie appreciates the help you have given her in formulating her financial goals. By putting the goals within specific time frames, she has a sharper focus on the savings effort she must make to...
-
Which of the following activities belong to the operating cycle, and which belong to the financial cycle? a. Collection of cash from customers b. Payment of dividends to stockholders c. Acquisition...
-
The timber column has a length of \(18 \mathrm{ft}\) and is fixed connected at its ends. Use the NFPA formulas to determine the largest axial force \(P\) that it can support. 6 in. P -5 in. P 18 ft
-
On March 1, 2012, Mitch Quade established Marine Realty, which completed the following transactions during the month: a. Mitch Quade transferred cash from a personal bank account to as account to be...
-
Windsor Company's income statement for the year ended December 31, 2025, contained the following condensed information. Service revenue $843,000 Operating expenses (excluding depreciation) $622,000...
-
Jarod Douglas Jones is a young professional just getting started in the world. He has been having some difficulty getting his checkbook to match his bank statement. Last month all he had to do was...
-
A and B are n x n matrices. Mark each statement True or False (T/F). Justify each answer. (T/F) det A -1 = (-1) det A.
-
If a parallelogram fits inside a circle radius 1 and det A = 4, where A is the matrix whose columns correspond to the edges of the parallelogram, does it seem like A and its determinant have been...
-
What change in atomic number occurs when a nucleus emits an alpha particle? A beta particle? A gamma ray?
-
Write down the work done by the unit mass system to the outside world in the process of isovolume, pressure, and temperature.
-
In a filter method, which of the following is helpful to assess the relationship between a quantitative input variable and a categorical outcome variable? a. Test of independence b. ROC curve c....
-
What is the role of random sampling in the anorexia study?
-
In the example in this chapter about the treatment of anorexia, what basic assumption would we have to make if we compared the final weights of the two groups (rather than comparing the amount of...
-
Please explain the mathematical expression and physical meaning of the first law of thermodynamics in motion. Point out the difference with the steady flow energy equation of incompressible fluid...
-
When is marginal revenue product (MRP) equal to value marginal product (VMP)?
-
The figure shows a bolted lap joint that uses SAE grade 8 bolts. The members are made of cold-drawn AISI 1040 steel. Find the safe tensile shear load F that can be applied to this connection if the...
-
What is the relative risk for AMD among women in group 6 compared with women in group 1? What does the relative risk mean in words? Another use for the risk score is to compute a prevalence estimate...
-
What is the estimated prevalence of AMD among women with a risk score in group 1? In group 6? Another use for the risk score is to compute a prevalence estimate of AMD for women with different risk...
-
Perform the test in Problem 10.139, and report a p-value (two-tailed)? Ophthalmology A casecontrol study was performed among 145 subjects with macular degeneration and 34 controls, all of whom were...
-
(a) Prepare journal entries to record each of the following: (i) The opening entries of T. Lee who commenced his business on 1 April 2007. Premises Office equipment Stock Bank Cash $ 60,000 5,000...
-
A handstand over a keg where the pressure forces fluid through a pipe against gravity for consumption. Let's say you choose your favorite beer with a density of 1,091 kg/m 3 and a pressure of...
-
Alpha Inc. generates $5 million in profits based on annual sales of $10,729,000. It has a degree of operating leverage of 2.50. What are the expected profits if sales increase to $14,584,000?
Study smarter with the SolutionInn App