Question: Exercise 3 (5 points) i) Let A C* be a skew-Hermitian matrix, namely such that A# = A. Show that all the eigenvalues of A
Exercise 3 (5 points) i) Let A C*" be a skew-Hermitian matrix, namely such that A# = A. Show that all the eigenvalues of A are purely imaginary numbers (possibly 0). ii) Let A R33, A +# O, be such that AT = A. Show that the eigenvalues of A are 0, tb, ib for some nonzero b R
Step by Step Solution
There are 3 Steps involved in it
1 Expert Approved Answer
Step: 1 Unlock
Question Has Been Solved by an Expert!
Get step-by-step solutions from verified subject matter experts
Step: 2 Unlock
Step: 3 Unlock
Study Help