Suppose that a matrix A has the following eigenvalues and eigenvectors: T • λ=−1haseigenvectorx=[1, 2, 3] . T • λ=2haseigenvectory=[−1, 0, 2] . T • λ=3haseigenvectorz=[0, 2, 1] . (i) Write the vector...

Suppose that a matrix A has the following eigenvalues and eigenvectors: T

• λ=−1haseigenvectorx=[1, 2, 3] . T

• λ=2haseigenvectory=[−1, 0, 2] . T

• λ=3haseigenvectorz=[0, 2, 1] .
(i) Write the vector v = [1, 10, 11]T as a linear combination of x, y, and z.

(ii) Calculate Av using your solution from Part (i).