The matrix has eigenvalue X = 2 repeated three times. Find an 2-eigenvector for A: -8 = Give a 7-generalized 2-eigenvector: 8 13 || Give a w-generalized -generalized 2-eigenvector: 18 A = = -3 4 -56 -4 3 3

Q: For each matrix below, you are given one of the eigenvalues. Find a corresponding eigenvector for…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: The matrix has eigenvalue X = -2 repeated three times. Find an -2-eigenvector for A: v= Give a…

A: Consider  matrix Applying Then  becomes Then  can be written as

Q: and find the corresponding eigenvector.

A: λ is an eigen value if we have Av=λv for some v non-zero.v is called eigen vector.

Q: Find an eigenvector corresponding to the eigenvalue 4 (2238 28). 22 -24 18-20 of the matrix The…

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Q: If A is a 3 x 3 matrix with eigenvalues 2,-2,1. Let 8 = A - 3A2 Then det(B) = -160 Select one: True…

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Q: 3 8 8 -1

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Q: Suppose ?<0λ<0 and ?u are a pair of eigenvalue and eigenvector of a 2×22×2 matrix ?A and ?=??v=Au.…

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Q: Suppose A is a 3 × 3 matrix with real entries that has a complex eigenvalue -8 - i -2-51] with…

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

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Q: Suppose B = XAX2, where X is the eigenvector matrix of B and A is its eigenvalue matrix. Compute the…

A: Please check step 2 for the solution.!

Q: Find the eigenvalues and all possible Jordan forms if A 2 = zero matrix.

A: If A^2 = 0, then the characteristic polynomial of A is λ^2 = 0, which implies that the only…

Q: The 3 x 3 matrix A has eigenvalues a, 2 and 2a. Find the values of a, ß and 0 for which 4A-¹ = A² +…

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Q: Q2. (a) Find the eigenvalues and corresponding eigenvector of the matrix [-2 5 4 5 4 5 -2| in

A: For eigen value , first we subtract λ from the digonal entries of the matrix    A=-25457545-2

Q: 8. The eigenvalues of a matrix A are 7 and –1.

A: 8). Given, the eigenvalues of a matrix A are 7 and -1 with corresponding     eigenvectors are 12…

Q: Find two linearly independent eigenvectors of the matrix A associated with the eigenvalue A=4, where…

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Q: Let -3 v1= -2,03 = be eigenvectors of the matrix A which correspond to the eigenvalues A1 =-4, d2=…

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Q: If the eigenvalues of a 3×3 matrix A is 1, −2 and 20, what are the eigenvalues of A-1?

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Q: Find the 2x2 matrix B given its eigenvalues ₁=1 and ₁=3 and the corresponding eigenvectors v₁=(-1,1)…

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Q: Find the 2x2 matrix B given its eigenvalues = 1 and 2=3 and the corresponding eigenvectors v₁=(-1,1)…

A: For a matrix B ,if λ is an eigen value and  X is the corresponding eigen vector then    BX = λX

Q: A is a matrix with eigenvector 51-31- || 1 of eigenvalue -1 and eigenvector of eigenvalue -2. What…

A: The given problem is to find the matrix A with the given eigenvectors corresponding to the given…

Q: Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are X₁ = 3, A₂ = −2, and A3 = -1 with…

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Q: Consider the linear system 2 y' "' = [ _3__3] " ÿ. -5 -3

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Q: Find the 2x2 matrix B given its eigenvalues ₁-1 and 2=3 and the corresponding eigenvectors v₁=(-1,1)…

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Q: 35. Give an example of a 4 x 4 matrix A without real eigen- values. ANS: Го -1 07 1 A = 0 0 -1 0 1

A: The answer is given as follows.

Q: wo eigenvalue If n is equal

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Q: Find eigenvector for 2 = 3 and given matrix A. X2= x3 Submit the Answer 2 Question 2 grade: 6. 5 3 A…

A: To find the eigenvector corresponding to eigenvalue 3 for the matrix: A=653101710−5−11−2

Q: 2X2 matrix with eigenvalues A₁ =-1.2, A2 = 1 with corresponding eigenvectors Consider the difference…

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Q: Suppose A is a 3 x 3 matrix with eigenvectors [1] V1 = V2 = 1 and v3 = corresponding to eigenvalues…

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Q: Q3: Find the eigenvalues of the matrix 2 C =

A: Q3: Given matrix C=24-39 The eigenvalues of A are the roots of the characteristic equation detC-λI=0…