Let 042 327 1 -2 ON 0 0 0 -2 0 HOOO II A (a) Find the characteristic polynomial of A (b) Find all eigenvalues of A (c) For each eigenvalue λ of A, what is the algebraic and geometric multiplicities of X? (d) For each eigenvalue λ of A, find a basis for the eigenspace Ex(A). (e) Is A diagonalizable? If so, give an eigenbasis for A.

Jean typically takes 2 less hours than Donald to assemble a bicycle if each works alone. Jean and Donald worked together to assemble a bicycle for 1 hour, and then Donald finished the job without Jean after an additional 1 hour. How long would it have taken Donald to assemble the bicycle alone? Do not include the units in your answer.

Calculate the solution for the equations: 2x + y = 1 and 3x + 2y = 4 || y =

Integrate by parts and check answer