Question: Problem 7. (10 points) The matrix A = has the following eigenvalues and eigenvectors: X1 = -4+ 2i with 81 = and 12 = -4-2i

Problem 7. (10 points) The matrix A = has the following eigenvalues and eigenvectors: X1 = -4+ 2i with 81 = and 12 = -4-2i with 32 = - Consider the system = 421 + 5 12 -921 - 412 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. (t) = 2. Write the general real solution for the linear system (write "c1" and "c2" for c, and C2 ) II(t) = I2(t) =] Note: You can earn partial credit on this

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