- #1
Codezion
- 18
- 0
Homework Statement
Given S is a Skew-Hermitian (S*=-S), Prove that I - S is a nonsingular matrix
Homework Equations
If a matrix A is nonsingular, for Ax=0, x={0}
The Attempt at a Solution
(I-S)x=0, and I have been trying to show that the solution for x is always zero. Is this the correctly direction, because I have been trying to do this since last night and I seem to be unable to do this. I would really appreciate it if you have a better suggestion. Thanks!