(25 points) Suppose that the matrix A has the following eigenvalues and eigenvectors: A = 0...

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(25 points) Suppose that the matrix A has the following eigenvalues and eigenvectors: A = 0 with = [] and 2 = 4 with = [2] A = Write the solution to the linear system = Ar in the following forms. A. In eigenvalue/eigenvector form: x(t) = = C B. In fundamental matrix form: x(t) 6-8 + 0 C. As two equations: (write "c1" and "c2" for c and c) x(t) y(t) = Note: if you are feeling adventurous you could use other eigenvectors like 4 or -32. (25 points) Suppose that the matrix A has the following eigenvalues and eigenvectors: A = 0 with = [] and 2 = 4 with = [2] A = Write the solution to the linear system = Ar in the following forms. A. In eigenvalue/eigenvector form: x(t) = = C B. In fundamental matrix form: x(t) 6-8 + 0 C. As two equations: (write "c1" and "c2" for c and c) x(t) y(t) = Note: if you are feeling adventurous you could use other eigenvectors like 4 or -32.

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To solve the linear system Ar using the given eigenvalues and eigenvectors well express the solution ... View the full answer