question archive Prove if true or give a counterexample if false
Prove if true or give a counterexample if false
Subject:MathPrice:2.86 Bought5
Prove if true or give a counterexample if false.
(a) If u and v are two eigenvectors associated with the same eigenvalue k of matrix A, then all vectors w = (a× u + b× v) where a and b are scalars such that w ¹ q also are eigenvectors associated with the eigenvalue k.
(b) If a square n x n matrix A is singular then 0 is one of eigenvalues of A.
