申論題

Problem 3 (13%)
下面的問題共有(a)~(C)三個子題:每個子題都只要寫出提問的答案即可(不須寫出答案背後的推 導)。 Let a≠0 and , and let (A) denote the set of all eigenvalues of A .

(a) Suppose ItaA is nonsingular, thus, for any nonzero scalar a, Ωa := is a well-definedmatrix. Then we know from knowledge of eigensystem of a square matrix that, corresponding to any. What is the mathematical relation betweenλ and μ?(3%)