1. Using MATLAB compute the determinant of Rt = for various choices of t. Comment on...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. Using MATLAB compute the determinant of Rt = for various choices of t. Comment on your results. Now compute the determinant by hand for an arbitrary t. How does the theoretical result compare with your calculations? Now, using MATLAB compute Re(R) and (Rt)TR for various choices of t. By hand, compute the theoretical values of the aforementioned products for an arbitrary t. What conclusions can you infer from these results. Is the above matrix orthogonal? (a) det(A) and det (AT) (b) det(A + B) and det(A) + det (B) (c) det(AB) and det(A) det (B) cost sint sint cost 2. Compose several random 5 x 5 matrices with integer entries and use MATLAB to compute each of the following pairs of values and comment on your results. If the pairs of values do not equal in general, provide a small counter example. 1 3. Let A be a square matrice with real entries. Using the multiplicative property of determinants we have that det(A) = (det A)", where n 1 and integer. Consider the matrix 0.03 0.001 0 1 0 0 A = 0.23 0 0.04 Using MATLAB compute det (A), det (A00), and det(A150) and based off this information state whether the matrices A, A100, and A150 are invertible. Do these results agree with the multiplicative property of determinants? Comment on your results and explain any differences. 1. Using MATLAB compute the determinant of Rt = for various choices of t. Comment on your results. Now compute the determinant by hand for an arbitrary t. How does the theoretical result compare with your calculations? Now, using MATLAB compute Re(R) and (Rt)TR for various choices of t. By hand, compute the theoretical values of the aforementioned products for an arbitrary t. What conclusions can you infer from these results. Is the above matrix orthogonal? (a) det(A) and det (AT) (b) det(A + B) and det(A) + det (B) (c) det(AB) and det(A) det (B) cost sint sint cost 2. Compose several random 5 x 5 matrices with integer entries and use MATLAB to compute each of the following pairs of values and comment on your results. If the pairs of values do not equal in general, provide a small counter example. 1 3. Let A be a square matrice with real entries. Using the multiplicative property of determinants we have that det(A) = (det A)", where n 1 and integer. Consider the matrix 0.03 0.001 0 1 0 0 A = 0.23 0 0.04 Using MATLAB compute det (A), det (A00), and det(A150) and based off this information state whether the matrices A, A100, and A150 are invertible. Do these results agree with the multiplicative property of determinants? Comment on your results and explain any differences.
Expert Answer:
Related Book For
Posted Date:
Students also viewed these databases questions
-
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
-
QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...
-
Macmillan Learning A Geiger-Muller tube is a type gas-filled radiation detector. It can detect particles like X-rays, alpha particles, and beta rays (electrons). This is useful in quantizing the...
-
After World War II, why might countries have preferred the Bretton Woods system to reestablishing the gold standard? In your answer, be sure to note the important ways in which the Bretton Woods...
-
The McGowan Repair Shop repairs and services machine tools. A summary of its costs ( by activity) for 2012 is as follows: a. Materials and labor for servicing machine tools...... $ 500,000 b. Rework...
-
In a study to develop the growth behavior for protozoa colonization in a particular lake, an experiment was conducted in which 15 sponges were placed in a lake and 3 sponges at a time were gathered....
-
One reason accounting earnings might not be a realistic measure of economic income is the incentive and ability of business managers to manipulate reported profits for their own benefit. This may be...
-
Madox Max Ltd pay a dividend of $3.3 per share next year. After that the dividend is forecast to grow at 15% for 1 year. From year three onwards dividends are expected to grow by 6% indefinitely....
-
Cullumber Warehouse distributes hardback books to retail stores and extends credit terms of 4/10, n/30 to all of its customers. During the month of June, the following merchandising transactions...
-
Let o be the random Variable that a certain denote the life in hours electronic device. The probability density of Function of the device is fo 20000 X3 :) O x 7100 , elsewhere Find me expected life...
-
What are the value-creation and value-capture mechanisms that Amazon uses in its business model? How consistent are these with its value proposition?
-
A company operates a standard absorption costing system and absorbs fixed production overheads based on machine hours. The budgeted fixed production overheads for the company for the previous year...
-
Using a supply-and-demand graph and assuming competitive markets, show and explain the effect on equilibrium price and quantity of the following: (a) A technological change that reduces the cost of...
-
A company manufactures golf bags. Golf bags have the following manufacturing costs: Required Prepare a statement of total product cost for a batch of 5,000 golf bags which shows prime cost and...
-
Compare and contrast how your local grocery would position the pre-made meal area of its store if it were trying to excel on performance, price, or relational value. What value proposition do you...
-
21 In 1980 the Department of Natural Resources released 1000 splake (a crossbreed of fish) into a lake. In 1990 the population of splake in the lake was estimated to be 2000. Using the Malthusian...
-
To help you become familiar with the accounting standards, this case is designed to take you to the FASBs Web site and have you access various publications. Access the FASBs Web site at...
-
Let be a nonzero elgenvalue of A and let x be an eigenvector belonging to . Show that Amx is also an eigenvector belonging to form = 1,2,....
-
Let A and B be 2 Ã 2 matrices and let (a) Show that det(A + B) = det(A) + det(B) + det(C) + det(D). (b) Show that if B = EA then det(A + B) = det(A) + det(B). D-I 12 a21 a22
-
Show that if A is a matrix of the form then A must be defective. Ola 0a0 a)0
-
How the duration of a sprint can be decided?
-
Why estimating software development effort is so difficult? What are the obstacles?
-
Why is the stateless pattern preferable to stateful?
Study smarter with the SolutionInn App