You have been provided with the following linear syestem to consider: -6-4 2²-[id]² x = 12 8 a. determite both the eigenvectors and the eigenvalues X, 0 7/²₂ (t) = 9 V₁. λ₂ [#] b. For both the eigen pairs you found above, create a solution of x=Ax. Use t for the independent variable in your answers below: answers. your 7₁ (t) = I V₂ II write

Q: 1. Find the real eigenvalues of each matrix below. -2] (a) 3 (b) 0 -1 -4 2. Find h in the matrix A…

A: Follow the answer below.

Q: Q1. Find the eigenvalues and the corresponding eigenvectors for the following 3x3 matrix. [1 A = -1…

A: we have to find the eigenvalues and the corresponding eigenvectors for the given matrix.

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Q: ives us the equation (3- 3i)V, = -6 V, %3D

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Q: 11. For the following, (a) Find the characteristic equation of matrix A, (b) Find the eigenvalues of…

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Q: 2 Consider the matrix A = 1. Find the eigenvalues and eigenvectors of A. 2. Consider the polynomial…

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Q: {1+2i, 1– 2i, -3i

A: The solution is given as

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Q: 1 + 6an−2 for n ≥ 2. Use generating functions to solve for an

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A: Solution:Given that, matrix  and the eigenvalue of the matrix A is 3i.

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A: The quadratic equation, y=ax2+bx+c can be expressed in the vertex form as y=a(x-h)2+k, where, the…