LTE alll 79%. 5:42 PM 3 -3 2 A12 -9 4 6-3 -1 (i) The characteristic...
LTE alll 79%. 5:42 PM 3 -3 2 A12 -9 4 6-3 -1 (i) The characteristic polynomial of A is 22+15 (x Press the "Submit Answers" button before attempting part (ii). The blanks for entering answers to (ii) and (ii) will appear only if your answers to previous parts were correct. In that case, please ignore the message stating that some of your answers were incorrect! (ii) The distinct eigenvalues of A are with an algebraic multiplicty of and a...
5. Consider the matrix A-1-6-7-3 Hint: The characteristic polynomial of A is p(λ ) =-(-2)0+ 1)2. (a) Find the eigenvalues of A and bases for the corresponding eigenspaces. (b) Determine the geometric and algebraic multiplicities of each eigenvalue and whether A is diagonalizable or not. If it is, give a diagonal matrix D and an invertible matrix S such that A-SDS-1. If it's not, say why not.