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Linear Algebra

Exercise 1.4.1

Answers

1.: Yes. Just pick any coeficient to be zero.
2.: No. By definition it should be ${0}$ .
3.: Yes. Every subspaces of which $S$ is a subset contains span $(S)$ and span $(S)$ is a subspace.
4.: No. This action will change the solution of one system of linear equations.
5.: Yes.
6.: No. For example, $0 x = 3$ has no solution.

jephianlin

2011-06-27 00:00

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