onsider the linear system A₁ = 0 v1 = ÿ₁(t) = a. Find the eigenvalues and eigenvectors for the coefficient matrix. TE 3 = -2t y' -2 3t = -3 6 -21 " ÿ. and X₂ 1 b. For each eigenpair in the previous part, form a solution of y'= Ay. Use t as the independent variable in your answers. and ₂(t): = -1t V2: 2t = -1 2 c. Does the set of solutions you found form a fundamental set (i.e., linearly independent set) of solutions? Yes, it is a fundamental set

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