Question: 5 The matrix A = has the following eigenvalues and eigenvectors -5 X1 = -5 + 2i with v1 = 5 and 12 = -5

5 The matrix A = has the following eigenvalues and eigenvectors -5 X1 = -5 + 2i with v1 = 5 and 12 = -5 - 2i with 32 = 2i 5 Consider the system 21 = -5x1 + 5 = -5x1 - 512 1. Determine a fundamental set (i.e., linearly independent set) of solutions for the system, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. (1) (t ) = 2. Write the general real solution for the linear system (write "c1" and "c2" for c1 and c2 ) 1 (t) = 12(t) =

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