題組內容

●(15%) Let a≠ 0 and 63087ef352c81.jpg denote the set of all eigenvalues of A.

(d) Suppose I+aA is nonsingular, thus, for any nonzero scalar a, Ωa := 63087f4d3fdc4.jpg is a well-defined 63087f6de1868.jpg matrix. Then we know from knowledge of eigensystem of a square matrix that, corresponding to any 63087f8fd2adf.jpg. What is the mathematical relation betweenλand μ? (3%)