you have been given the linear syestem. following X'= determine the eigenvectors and the matrix. 3 2 -5 -3x the eigenvalues for above X₁ = x₂ = Explain 3 9 +₁=1==1 [-] [F] your steps.

Q: Consider the following initial-value problem. -1 -2 X'= ×·- (-² -² ) x + ( ³ ) × (0) - ( -5 ) X 3 4…

A: Given  system of differential equation is              x'=-1-234x+55  ,   x0=-67  compare this with…

Q: The matrix -1 2 3-6 has a eigenvalues -7,0 with eigenvec- tors (-1,3) and (2, 1). Write the general…

A: For a given differential equation where eigen values and respective eigen vectors are given. We have…

Q: (2) Area of Triangle A=11* Of Triangle formed by V' and W in es =√6 A (11012) BC21014) ((|12₁k)|…

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Q: λ1 = -2, λ2=5  V1 = (1, -2)  V2 = (4, -1) Using the above eigenvalues and/or eigenvectors, find…

A: I have used eigenvalue and eigenvector method to solve the given system of ODE.

Q: 4. Find the eigenvalues and eigenvectors of the following matrices. State thealgebraic and geometric…

A: Algebraic multiplicity of an eigen value = how many times repeating that eigen value as a roots of…

Q: 1. A = 10 23

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Q: 3. Suppose that A is a 2 × 2 matrix with the following properties: its eigenvalues are d1 = -1 and…

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Q: Find a real-valued fundamental matrix for y' = Ay where [2 1 0 A = |0 2 0 |0 1 2

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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: Suppose that the matrix A has the following eigenvalues and eigenvectors: D X₁ : -3 + 4i with 7₁ =…

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Q: [3 0 07 6. Find the eigenvalues and eigenvectors of the matrix: 0 5 0 Lo 0 7.

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Q: 1 1 A=[ 6 . -1 L-1 -2 -1 Find the eigenspace corresponding to eigenvalue A = 3 %3D

A: Given, A=1216-10-1-2-1 One of the Eigen value is λ=3. To find the eigen space, solve the following…

Q: b. *- (-21)* The coefficient matrix has only one eigenvalue, λ = 5, which has algebraic multiplicity…

A: Eigen value: Geometric multiplicity: Eigen vector:

Q: Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. -1 8-6…

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Q: Which of the following are eigen functions of the operator d2/dx2 , find the corresponding eigen…

A: Calculate:  d2dx2sinx=-sinx.  Thus, sinx is eigen function with eigen value -1.

Q: The eigenvalues are λ₁ < λ2 < A3 < №4, where A₁ = has an eigenvector eigenvector A = -37 15 0 0 -70…

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Q: Find eigenvector for 1 = 2 and given matrix A. X2= X3= Submit the Answer 2 Question 2 grade: 6. 3 A…

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Q: λ1 = -2, λ2=5  V1 = (1, -2)  V2 = (4, -1) Using the above eigenvalues and/or eigenvectors, find…

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Q: [1 2 -31 are 1, 2, The eigenvalues for the matrix A = |o Lo -2 Find the corresponding eigenvectors.…

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