. Suppose A is an n x n matrix, with rank 1. Then, A = 771", Where 7.? is a column vector, and ET is a row vector. (a) (3 points) Show that 175 is an eigenvector of A. What is the corresponding eigen value? (b) (2 points) Compute the trace from the sum of the diagonal elements of A (rst you have to nd A). (c) (3 points) Suppose n > 1. What are the other eigenvalues of A? Why? (Hints: If Nul A is not the zero subspace, then it is an eigenspace. Also recall that the trace is the sum of the eigenvalues.)