Problem Set 32 Eigenvalues and Eigenvectors Objectives: Recognize an eigenvector of a matrix and its corresponding eigenvalue Write the characteristic equation for a matrix Problem 1: For each vector, determine if it is an eigenvector of the given matrix. If it is, determine the corresponding eigenvalue. ONE b. C .Problem 2: What is the characteristic equation for a matrik A? Problem 3: Write the characteristic equation for the matrix below. 1 4 3 1 o -1 3 2 0 0 & 0 0 0 -5 Problem 4: What are the eigenvalues of the matrix in the previous