Consider the linear system y→′ = [3 2 −5 −3]y→. Find the eigenvalues and eigenvectors for the coefficient matrix. λ1 = , v→1 = [ ], and λ2 = , v→2 = [ ]
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Consider the linear system
Find the eigenvalues and eigenvectors for the coefficient matrix.
![Consider the linear system y→′ = [3 2 −5 −3]y→. Find the eigenvalues and eigenvectors for the coefficient matrix. λ1 = , v→1 = [ ], and λ2 = , v→2 = [ ]](https://www.doubtrix.com/uploads/editor/9287869072cUTDgQIshl.png)
![Consider the linear system y→′ = [−3 −2 5 3]y→. a. Find the eigenvalues and eigenvectors for the coefficient matrix. λ1 = , v→1 = [ ], and λ2 = , v→2 = [ ] b. Find the real-valued solution to the initial value problem {y1′ = −3y1 − 2y2, y1(0) = −2 y2′ = 5y1 + 3y2, y2(0) = 5 Use t as the independent variable in your answers. y1(t) = y2(t) =](https://www.doubtrix.com/uploads/editor/6174151511mUCFTgrlOM.png)
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![For the linear system y→′ = [5 6 −3 −4]y→ Find the eigenvalues and eigenvectors for the coefficient matrix. λ1 = , v→1 = [ ], and λ2 = , v→2 = [ ]](https://www.doubtrix.com/uploads/editor/2923912489lUzoacArUI.png)