Differential Equations and Linear Algebra, 6.5: Symmetric Matrices, Real Eigenvalues, Orthogonal Eigenvectors

SOLVED: Consider the linear system1' = |  fiFind the eigenvalues and eigenvectors for the coefficient matrix. Then form solutions to y Azj for each eigenpair and enter your solutions below. Use t as the independent variable in your answers.3, (4)and Fz()Does the set of solutions you found form a fundamental set (i.e., a linearly independent set) of solutions? Yes, it is a fundamental set.

Consider the linear system x' = < b m a t r i x > x. Find the eigenvalues and eigenvectors for the coefficient matrix. λ1 = v⃗1 = and λ2 = v⃗2 = For each eigenpair in the previous part, form a solution of x' = Ax. Use t as the independent variable in your answers. x⃗1(t) = x⃗2(t) =