Question: Problem 6. (8 POINTS) LET A BE A 2 X 2 REAL MATRIX HAVING EIGENVALUES 1 = 2 AND A2 = -5, AND CORRESPONDING EIGENVECTORS

Problem 6. (8 POINTS) LET A BE A 2 X 2 REAL MATRIX HAVING EIGENVALUES 1 = 2 AND A2 = -5, AND CORRESPONDING EIGENVECTORS X1 = [2, -1]7, X2 = [3, 4]7, RESPECTIVELY. IF y (t) = [y1(t), y2(t)] IS THE SOLUTION OF y - Ay WITH INITIAL CONDITION y (0) = [11, 0]7, THEN y2 (3) IS A. yz(3) = -4e6 + 4e-15 B. y2(3) - e-6+ 4e15 C. y2(3) = 8e6 + 3e-15 D. 2(3) - e2 - 2e 5

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