Suppose A is a 2 x 2 real matrix with an eigenvalue λ = 5+ 3i and corresponding eigenvector *-[-+++9 [4] = Determine a fundamental set (i.e., linearly independent set) of solutions for y' = Ay, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. 181 181 3 (t) = ₂(t) =

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Q: . Let A = -3 the matrix A. 93). Is it true that A is orthogonally diagonalizable? If yes,…

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Q: Let A be 2 x2 matrix. if trace A 8 and det(A)= 12 then the eigenvalues of A are Select one: a. 3,4…

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Q: Let A be 2 x 2 matrix. if trace A =8 and det(A)= 12 then the eigenvalues of A are: Select one: a.…

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Q: Suppose A is a 2 × 2 real matrix with an eigenvalue λ = 3 + 4i and corresponding eigenvector * = [-…

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Q: Let A=[5 2; 2 8] a. Show that A is positive definite

A: a A=5228we find the eigen value of matrix A ⇒5228-λ1001=5228-λ00λ=5-λ228-λ

Q: Let A be 2 x 2 matrix. if trace A =8 and det(A)= 12 then the eigenvalues of A are: Select one: a.…

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Q: [3 -1] Find the eigenvalues and eigenvectors of the matrix A = [33 8 181 A1 =‚ ÿ1 = and X₂ " V2 =

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Q: 1. Without actually setting up any equations, write down the eigenvalues of the following matrix: 1…

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Q: Suppose that the trace of a 2 x 2 matrix A is tr(A) = -14, and the determinant is det(A) smaller…

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Q: Suppose A is a 2 x 2 real matrix with an eigenvalue λ = 1 + 4i and corresponding eigenvector -1 + i…

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Q: 1. (a) Circle the vector(s) below which are eigenvectors of the matrix A: 1 3 6 2 1 4 1 0 3 A = -2…

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