MATHMATICS 350 ASSESMENT:0-4

Be quick. In last time of homework have to submit fast . Do all subparts and ensure the right answer, It is urgent.

AS SOON AS POSSIBLE.

QUESTION:

2. (a) Consider the matrix 5 -2 2 A= 4 -34 4 - 6 7 Find the characteristic equation for A. And then calculate the eigenvalues, the corresponding eigenspaces, and their dimensions. (b) Find the matrix that diagonalizes A. Also find the diagonal matrix similar to A. (C) Prove that if x is an eigenvector of a square matrix B, then for any scalar c, x is also an eigenvector of B+cl. What is the corresponding eigenvalue