830 and A=-48the LU-decomposition of A.6. Let b =1-33 -11-1 14 32-6-22. Use the following steps to solve the system Ax = b by using(a) Find the LU-decomposition of A, A = LU.(b) Solve Ly= b by forward substition.(c) Solve Ux = y by back substition.(d) Find the solution of Ax = b.N

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Answered: 6. Let b = 8 30 and A = 1 -6 -3 3 -11…

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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2. Consider the system Ax = b with 1 -3 -5 10 -2-48 -3 10 15 A ,b= 50 12 (a) Write down each of the elementary matrices that reduce A to an upper triangular matrix U. (b) Write down the system Ux = c which is equivalent to Ax = b. (c) Solve the system Ux = c for x. No image
after solving the decomp solve the system using lu decomp
2. Let A 1 = and b -1 3 -1 7 Find the inverse of A and solve the linear system Ax = 6. 0 =
Español Assume that traffic flows freely through the intersections A, B, and C. The values x,, x,, and x, and the other numbers in the figure represent flow rates in vehicles per hour. 177 210 196 -- ----- B-- 214 172 121 Part 1 of 7 (a) Write an equation representing equal flow into and out of intersection A. The equation representing equal flow into and out of intersection A is 177 + 196 = x, +x, Part 2 of 7 (b) Write an equation representing equal flow into and out of intersection B. The equation representing equal flow into and out of intersection B is 210 + 214 = x, +x, Part 3 of 7 (c) Write an equation representing equal flow into and out of intersection C. The equation representing equal flow into and out of intersection C is 172 + x, = 121 +x, Part 4 of 7 (a) Write the system of equations from parts (a)-(c) in standard form. The system of equations from parts (a)-(c) in standard form is X1 +X3 = 373 X1+X2 = 424 X2 -X3 = 51 Check Save For Later Submit Assignment
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3. Solve by Matrix Inversion using Minors and Cofactors Method. * 2w – 2x + 3y + 4z = 33 3w – 5x – 7y + 3z = 11 | | 4w + 3x – 4y – 5z = 3 - 5w + 4x + 6y – 2z = 45 1 Add file
5) Suppose a path C is defined by r(t), 2 and r(8)= . If f is a differentiable function satisfying f(3,9) = 6 and f(6, 10) = 14, what is the value of Vf dr?

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6. Let b = 8 30 and A = 1 -6 -3 3 -11 -22 14 32 -48 -1 the LU-decomposition of A. Use the following steps to solve the system Ax = b by using (a) Find the LU-decomposition of A, A = LU. (b) Solve Ly= b by forward substition. (c) Solve Ux=y by back substition. (d) Find the solution of Ax = b.