6.(15%) Using the theory of Residues, compute the inverse f(t), -∞＜t ＜∞, of the Fourier transform

(3.3) Now let (λ,v) be an eigenpair of matrix A withλ≠0. Then from the definition of A, it can be shown that y lies in certain subspace of Rn and λ is an eigenvalue of another matrix, denoted by with m=rank(A).Please (i) (2%) indicate the subspace of Rn where the eigenvector v lies, and (ii)(6%) use vectors x, ly, and z to describe the matrix B.