Suppose - [48] a square matrix A has eigenvalues 6 and 8, then find the eigenvectors of the matrix A.

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A: Eigen value: A=010001512k3-192k224kThe characteristic equation is|A-λI|=0

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Q: Determine the eigenvalues and eigenvectors of the matrix 3 -2 01 =-2 3 0 005]

A: The given matrix,C=3-20-230005

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A: Note: according to our guidelines we can answer only 11 th question

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A: The solution is given as

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Q: For the matrix find the eigenvalue corresponding to the eigenvector A 1 = ( ³3₂ 7 2 (-4). -2

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Q: Find the eigenvalues and eigenvectors of the matrix A = 181 X1 = and X₂ 15 = v₂ = = | 1 -5

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Q: Find the general solution using eigenvectors: x₁ = -2x₁ + 4x₂ x₂ = 6x₁ - 4x₂

A: We have to find the general solution using eigenvectors:…

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Q: 3. Find a basis among the vectors [1, 2, 3], [2, 6, 10], [0, –3, –6],[-1,-3,-5] (which are surely…

A: Q3 asked and answered.

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Q: (d) If go = 0 and gi = 1 show that the limit of the Jibonacci sequence is %3D %3D

A: Given that the " Jibonacci " numbers are the average of the two previous numbers : gk+2 = 12gk+1 +…

Q: Find the general solution using eigenvectors: x₁ = −2x₁ +4x₂ x₂ = 6x₁ - 4x₂

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