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) =

Eigenvalues & Eigenvectors | Overview, Equation & Examples

show that the vector x is an eigenvector of the matrix a 4 what is the corresponding eigenvalue find all the eigenvectors and eigenvalues 40531

Differential Equations and Linear Algebra, 6.2: Diagonalizing a Matrix