LU Decomposition Method?

7 2 -3 x1 -12
2 5 -3 x2 = -20
1 5 -6 x3 -26
LU Decomposition Method?

Expert Solution

Colby Messinger answered 2 years ago

Q: (LU decomposition) Find the LU decomposition of A = [-3 2 5 1; 12 -4...

Q: (LU decomposition) Find the LU decomposition of A = [-3 2 5 1; 12 -4 -20 -2; -6 0 15 1; -9 6 35 4]. You can use the compact method which works within a single matrix or you can build L and U separately. State L and U explicitly, and verify (in Matlab) that A = L*U. Hint: Matlab's built-in lu function isn't useful, since it pivots.

4. (Applying LU and LUP decompositions) In this problem, we'll use the LU/LUP decomposition to solve...

4. (Applying LU and LUP decompositions) In this problem, we'll use the LU/LUP decomposition to solve a linear system of equations. a) For A = [12 -8 13 -1 13;14 11 -5 -5 -7;1 -8 -9 10 8;-11 10 -8 3 8;-11 -8 4 2 -4] find matrices P, L, and U so that PA = LU using Matlab's lu function. Based on your results: did Matlab use pivoting during the lu-computation? b) For b = [4;-4;-5;3;7] solve Ax =...

LU Decomposition (i). Prove that for n equal to 2 or 3 there is a non-singular...

LU Decomposition (i). Prove that for n equal to 2 or 3 there is a non-singular square (n by n) matrix which has no LU decomposition with L unit lower triangular and U upper triangular. (In fact, this is true for any integer ≥ 2.) (ii). We will see that all non-singular square matrices do have an LUP decomposition (some time soon in class). Here P is a permutation matrix, also defined in Appendix D and used in Chapter 28....

Find the inverse for [A] for the following equation using LU Decomposition 8x1 + 4x2 -x3...

Find the inverse for [A] for the following equation using LU Decomposition 8x1 + 4x2 -x3 = 11 -2x1 + 5x2 + x3 = 4 2x1 - x2 + 6x3 = 7

Find [A]^-1 for the following equation using LU Decomposition and {x}. 3x1 - 2x2 + x3...

Find [A]^-1 for the following equation using LU Decomposition and {x}. 3x1 - 2x2 + x3 = -10 2x1 + 6x2 - 4x3 = 44 -x1 - 2x2 + 5x3 = -26

Use LU decomposition to solve the following system of equations (show your work). Do not use...

Use LU decomposition to solve the following system of equations (show your work). Do not use a pivoting strategy, and check your results by using the matrix inverse to show that [A][A]-1= [I]. 8x+ 2y−z=10 - 2x+4y+z=5 3x−y+ 6z=7

Write a MATLAB function function = myMatrixInveesion(....) to calculate matrix inversion by implementing LU decomposition, forward...

Write a MATLAB function function = myMatrixInveesion(....) to calculate matrix inversion by implementing LU decomposition, forward and backward substitution procedures. Do NOT use the built-in "lu" or "inv" commands in your code. You will need to employ Nested Loops. Thank you! function_____ = myMatrixInversion(_____)

Application and Limitation of: QR decomposition Schur decomposition

Lu Technology Co. manufactures DVDs for computer software and entertainment companies. Lu uses job order costing....

Lu Technology Co. manufactures DVDs for computer software and entertainment companies. Lu uses job order costing. On June 2,Lu began production of 5,800 DVDs, Job 423, for Portrait Pictures for $1.20 sales price per DVD. Lu promised to deliver the DVDs to Portrait Pictures by June 5. Lu incurred the following direct costs: Data table: Date Labor Time Record No. Description Amount 6/02 655 10 hours @ $14 per hour $140 6/03 656 20 hours @ $13 per hour 260...

Partial Fractions: Problem 2 Use the method of partial fraction decomposition to write the following rational...

Partial Fractions: Problem 2 Use the method of partial fraction decomposition to write the following rational expression as the sum of simpler rational functions whose denominators are polynomials of degree 1. −20x+20/x^2−x−56=

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