1. Find an LU factorization of the matrix 3 -7 -2 -3 5 1 A -4 0 -5 6- 5 -5 12 An LU factorization of A can be thought of as a display of both the work and the final result of a row reduction of A to echelon form (not all the way to reduced echelon form). Therefore, in Problem 1, you must show all the steps of your row reduction explanation of your work on the page. There should also be some English ||

1. Find an LU factorization of the matrix 3 -7 -2 -3 5 1 A -4 0 -5 6- 5 -5 12 An LU factorization of A can be thought of as a display of both the work and the final result of a row reduction of A to echelon form (not all the way to reduced echelon form). Therefore, in Problem 1, you must show all the steps of your row reduction explanation of your work on the page. There should also be some English ||

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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I need help with finding the reduced row echelon form.
here are the next 3 questions related to the problem
4. The formulation of the following problem and its corresponding augumented coefficient matrix and row reduced matrix are shown below. A zoo veterinarian can purchase animal food of 4 different types, A, B, C, and D. Each food comes in the same size bag, and the number of grams of each of three nutrients in each bag are summarized in the following table. Nutrient N₁ N₂ N3 A 5 10 5 5x + 5y + 10z+5w=15,000 10x + 5y +30z+10w = 30,000 5x+15y +10z+25w=19,000 B 5 5 15 Food For one animal, the veterinarian determines that she needs to combine these bags to get 15,000 g of N₁, 30,000 g of N₂, and 19,000 g of N3. How many bags of each type of food should she order? 5 5 10 5 15,000 10 5 30 10 5 15 10 25 a. State the general solution using the parameter t. C 10 30 10 Let x = no. of bags of Food A, y = no. of bags of Food B, z = no. of bags of Food C, and w= no. of bags of Food D D 5 10 25 1 00 -3 1 0 2 0 0 1 1 30,000 →→ 0 19,000 2,200 400 200
Question # 1: Supercomp Ltd produces two computer models Pc1086 and PC1186. The matrix A shows the cost per computer (in thousands of dollars) and B the production figures for the year 2010 (in multiples of 10,000 units.) Find a matrix C that shows the shareholders the cost per quarter (in millions of dollars) for raw material, labor, and miscellaneous. Quarter 12 3 4 PC1086 PC1186 [12 1.6] Raw Components [3 8 6 9] PC1086 B = A = 0.3 0.4 Labor 6 2 4 3 PC1186 0.5 0.6 Miscellaneous
2. Is the following matrix in reduced row echelon form? If not, how would we reduce it to reduced row echelon form? Choose the correct option below. 00 1 0 1 1 0 -2 0. 4 0 (a) The matrix is already in RREF. (b) The matrix is not yet in RREF, and one row scaling will reduce it to RREF. (c) The matrix is not yet in RREF, and one row swap will reduce it to RREF. (d) The matrix is not yet in RREF, and one row replacement will reduce it to RREF. (e) The matrix is not yet in RREF, and at least two row operations are required to reduce it to RREF. O (a) is the correct answer O (b) is the correct answer O (c) is the correct answer (d) is the correct answer O (e) is the correct answer
2. Find the inverse of the matrix if it exists. Use the row reduction method. Show all of your work on this problem.
There is a second part to this question