題組內容

4. Let61bae98059c1b.jpgandλare eigen vector and eigen value of matrix61bae9e8e3911.jpg, when the following equation is satisfied.
61baea0fdc5a6.jpg
Eigen value λcan be obtained by solving, det61baea57d93a8.jpgis the unit matrix.

(3)(申論題10%) Prove that the eigen values of a Hermite matrix are real.