Question 1. Determine the LU decomposition with pivoting by hand. 3x1 - 2x2 +x3 = -10 2x1 + 6x2 -4x3 = 44 -x1 - 2x2 + 5x3 = -26
Question 1. Determine the LU decomposition with pivoting by hand. 3x1 - 2x2 +x3 = -10 2x1 + 6x2 -4x3 = 44 -x1 - 2x2 + 5x3 = -26
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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Question 1. Determine the LU decomposition with pivoting by hand.
3x1 - 2x2 +x3 = -10
2x1 + 6x2 -4x3 = 44
-x1 - 2x2 + 5x3 = -26
Question 2.Use MATLAB for a,b,c and d. And show your solution and coding steps by MATLAB.
a) Check your results by validating that [L][U] = [A]
b)Solve the system of equations by using the backslash approach.
c) Use the inverse to determine the solution.
d)Determine the matrix inverse. Check your results by verifying that [A] [A]-1 = [I]
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