Chapter 7 1. GI If you're solving for eigenvectors and Gauss-Jordan leads to an underdetermined system, what does the number of free variables tell you? . If you're solving for eigenvect-ors and Gauss-Jordan leads to a unique solution or an inconsis tent system. what conclusion should you (.lraw'? If you're solving for eigenvectors and you nd the zero vector as an (or the) eigenvector, what does that tell you? . Suppose that one of your classmates, solving for eigenvectors, is confused about the difference between V? (one of the vector components) being zero and v2 being free. How would you explain the difference? . Without doing any computations, what are the. eigenvalues of the identity matrix? . Write a matrix with a repeated eigenvalue. Is your repeated eigenvalue complete or defective? Show how you know. . Can a real-valued triangular matrix ever have complex eigenvalues? Why or why not? . Every singular matrix has the eigenvalue because the determinant of any square matrix is its eigenvalues