Exercise 3.3.1

Answers

1.: No. The system that $0 x = 1$ has no solution.
2.: No. The system that $0 x = 0$ has lots of solutions.
3.: Yes. It has the zero solution.
4.: No. The system that $0 x = 0$ has no solution.
5.: No. The system that $0 x = 0$ has lots of solutions.
6.: No. The system $0 x = 1$ has no solution but the homogeneous system corresponding to it has lots of solution.
7.: Yes. If $Ax = 0$ then we know $x = A^{- 1} 0 = 0$ .
8.: No. The system $x = 1$ has solution set ${1}$ .

jephianlin

2011-06-27 00:00