Let u and v be eigenvectors of a matrix A, with corresponding eigenvalues & and p, and let c, and cy be scalars. Definexcu+cv (-0.1.2) a What is by definition? b. Compute Ax, from the formula for x, and show that Ax, 1 This calculation will prove that the sequence (x) defined above satisfies the difference equation Ax (0, 1, 2) a Apply the definition of x, to compute x in terms of C. . A . u. and v only b. Compute Ax, Then show that Ax Ax AD Substitute for x Apply properties of linearity to rewrite the right side How can this equation be manipulated to show that Ax, x7 Select the conect choice below and, if necessary, fill in the answer box to complete your choice. OA. Apply the fact that A and u are eigenvalues of A to write Au as OB. Apply the fact that u and v are eigenvectons of A to write Au as and uv as and Avas