[1 2 1 0] A = |2 4 4 8 l4 8 6 8] (a) Find the solution space of the homogeneous system that is Ax = 0, which is N(A), the null space of A. (b) Find the basis and dimension of N(A). (c) Find the complete solution of x = x, + xp by Gauss Jordan Elimination method on 4 1 [A |b] while b =| 2 l1o]

[1 2 1 0] A = |2 4 4 8 l4 8 6 8] (a) Find the solution space of the homogeneous system that is Ax = 0, which is N(A), the null space of A. (b) Find the basis and dimension of N(A). (c) Find the complete solution of x = x, + xp by Gauss Jordan Elimination method on 4 1 [A |b] while b =| 2 l1o]

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 2 1 0]
A = 2 4 4 8
[4 8 6 8]
(a) Find the solution space of the homogeneous system that is Ax = 0, which is N(A), the
null space of A.
(b) Find the basis and dimension of N(A).
(c) Find the complete solution of x = Xp + Xp by Gauss Jordan Elimination method on
4
[A |b] while b =
10
2

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