We consider the matrix A and the vector v given by A = 1 s V=...

Transcribed Image Text:

We consider the matrix A and the vector v given by A = 1 s V= a) Compute the determinant and the rank of A. b) Find all values of s such that v is an eigenvector for A. c) Compute all eigenvalues of A when s=-1. Is A diagonalizable when s=-1? We consider the matrix A and the vector v given by A = 1 s V= a) Compute the determinant and the rank of A. b) Find all values of s such that v is an eigenvector for A. c) Compute all eigenvalues of A when s=-1. Is A diagonalizable when s=-1?