Question 5. Given the tridiagonal matrix 1.96 0.9996 0.19 1.8469 0.4025 0.69 1.4087 0.1125 0.98 2.0882 work out the values l;, i = 1, 4 and ui, i = 1,..., 3 in the LU factorisation A = LU with %3D ... 11 [1 ul 0.19 12 1 u2 L = 0.69 13 1 u3 0.98 14 1 Use the LU factorisation to solve the system Ax b with 7.762776 7.048489 0.326538 4.649794. for xi, i = 1, ...,4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places. (a) l1 ),l4 %3D %3D (b) u1 , U2 = U3 = (c) x1 , X2 = , X4 = , X3 =

Question 5. Given the tridiagonal matrix 1.96 0.9996 0.19 1.8469 0.4025 0.69 1.4087 0.1125 0.98 2.0882 work out the values l;, i = 1, 4 and ui, i = 1,..., 3 in the LU factorisation A = LU with %3D ... 11 [1 ul 0.19 12 1 u2 L = 0.69 13 1 u3 0.98 14 1 Use the LU factorisation to solve the system Ax b with 7.762776 7.048489 0.326538 4.649794. for xi, i = 1, ...,4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places. (a) l1 ),l4 %3D %3D (b) u1 , U2 = U3 = (c) x1 , X2 = , X4 = , X3 =

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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D Question 16 Find the dimensions of the null space and the column space of the given matrix. A= 10 7 1 5 1 -2-4-5-4 1 O dim Nul A = 4, dim Col A = 1 O dim Nul A=2, dim Col A = 3 O dim Nul A-3, dim Col A = 2 O dim Nul A-3, dim Col A = 3 Question 17