Find a basis of the solution space of the following homogeneous linear systems. (a) x1 - 2x3

Question:

Find a basis of the solution space of the following homogeneous linear systems.
(a) x1 - 2x3 - 0,
x2 +x4 = 0.
(b) 2x1 + x2 - 3x3 + x4 = 0,
2x1 - x2 - x3 - x4 = 0.
(c) x1 -x2 - 2x3 + 4x4 = 0,
2x1 +x2 - x4 = 0,
- 2x1 + 2x3 - 2x4 = 0.
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

Question Posted: