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- Find all values of the angle for which the matrix A=[cossinsincos] has real eigenvalues. Interpret your answer geometrically.For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of multiplicity 2. b A has 1 and 2 as eigenvalues. c A has real eigenvalues.Box answe
- SOLVE CAREFULLY!! Please Write Clearly and Box the final Answer(s) Label them ( C& D)Let 1 A = -2 1 Consider the system of equations = A. (a) Find all eigenvalues of A. (b) Show that 7 = 0 is the only equilibrium solution of the system. %3D (c) Determine whether 7 Ở is a node, or a saddle, or a spiral point. (d) Determine the stability of 7 = 0. 2.Use a calculator for: - Finding eigenvalues and eigenvectors. - Matrix multiplication still required to show how you find generalized - Matrix inversion - Row reduction - Integration
- Consider the linear system -6 x' = [161] 2 x. 10 Find the eigenvalues and eigenvectors for the coefficient matrix. λι and = = 12 = , V2 = [8] [8] help (numbers) help (matrices) help (numbers) help (matrices) Book: Section 3.4 of Notes on Diffy QsUse a calculator for: - Finding eigenvalues and eigenvectors. - Matrix multiplication still required to show how you find generalized - Matrix inversion2.Box answer
- For the linear system x' = Find the eigenvalues and eigenvectors for the coefficient matrix. λι ×₁ = 0,0₁ = and X2 = [8] [8] help (numbers) help (matrices) help (numbers) help (matrices) Book: Section 3.4 of Notes on Diffy QsSolve the system of differential equations given in matrix form for the general solution. We must do this by calculating the eigenvalues and eigenvectors. Note: we get a repeated eigenvalue and must solve for the second eigenvector to get two linearly independent solutions for our general solution. Please explain how you calculate the second eigenvector