Give an example of a 3 x 3 matrix with eigenvalues of 2, 2, and -3 that is NOT diagonalizable. Show WHY it is not diagonalizable.

Q: Give an example of a matrix with real-valued entries, whose eigenvalues are complex numbers.

A: We will give an example of a 2×2 matrix with real entries and show its eigen values are complex…

Q: Obtain the Controllable Canonical Form of a 4x4 matrix if its eigenvalues are given as: a) 0, -1,…

A: As per the question we have to find the controllable canonical form of the 4×4 system matrix, whose…

Q: Find the eigenvalues of the matrix. 0 0 0 -4 4 0 2

A: We have to find the eigen values of the given matrix ;                A = 0000-44002

Q: Find the eigen values and eigen vectors of the matrix -3 5

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Q: Find the eigenvalues of the triangular or diagonal matrix.

A: Properties of Eigen values give that the Eigen values of a diagonal matrix are the principal…

Q: Let A be a 5x5 matrix. Assume that A has two eigenvalues, the eigenspace of one eigenvalue is…

A: The given matrix A is 5x5 matrix. One of the eigenvalue has a three-dimensional eigenspace, i.e. it…

Q: Which matrices have negative eigenvalues?

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Q: Find the eigenvalues of the matrix. 0. 0 2 -8 0 0-6

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Q: List the eigenvalues of the matrix A [3 0 0 3 0, along with their multiplicities. Is A invertible?…

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Q: Construct an example of a 4x4 matrix, with one of its eigenvalues equal to -2, that is not diagonal…

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Q: Give an example of a 3x3 non triangular matrix with with eigenvaluse 2,3,-2

A: Give an example of a 3x3 non triangular matrix with with eigenvaluse 2,3,-2

Q: : Suppose a 2 x 2 matrix A has 0 as its only eigenvalue. Is A necessarily the zero matrix? If so,…

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Q: Explain why a symmetric matrix with real entries can't have complex eigenvalues.

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Q: 1 -1 -1 1 -1 1 1 -1

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Q: Find the eigenvalues of the matrix. -2 -2 4 A = -4 1 2 2 2

A: First I have find the characteristic polynomial of given matrix , then find its root and these are…

Q: What is the dominant eigen value of the [1] matrix

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Q: Explain why a 2 × 2 matrix can have at most two distinct eigenvalues. Explain why an n x n matrix…

A: Use the following concepts to prove the required result. To obtain the eigenvalues λ of the matrix…

Q: Find all the eigen values of the matrix by Ja 2 =-1

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Q: snip

A: Given: To construct a non singular matrix with eigen values 2 and 5Formula: The…

Q: Let A be a 5x5 matrix and let 1 be an eigenvalue of multiplicity 4. If the rank of A-AIis 2, explain…

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Q: Let A be a 5 × 5 nonsymmetric matrix with rankequal to 3, let B = ATA, and let C = eB. What, if…

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Q: If two nxn matrices A and B have the same eigenvalues with same multiplicities, then they are…

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Q: Find the eigenvalues and the corresponding eigenvectors of the matrix A

A: Given :                  5-213 To find :                  Eigen values and Eigen vectors Start from…

Q: Use a software program or a graphing utility to find the eigenvalues of the matrix.

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Q: Find eigenvectors for each eigenvalue (-3,4) of A: 2x2 matrix below 3 2 3 -2

A: Given, A=323-2

Q: Explain how to find a basis for the eigenspace associated to the eigenvalue -4 in the matrix 4x4…

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Q: Why do the eigenvalues of a triangular matrix lie along its diagonal?

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Q: The eigenvalues of the matrix are: -1, 1, 2 0, 1, 2 3, 0, 0 1, 1, 1 1 1 1 1 1 1 1 1 1

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Q: ) Construct a 3x3 non-triangular matrix, which has three distinct eigenvalues. Determine eigenvalues…

A: For example: Let            A=5-10-15000-2

Q: Find all the eigenvalues and associated eigenvectors of the matrices:

A: The matrix A=0-910. Find detA-λ I. detA-λ I=det0-910-λ1001=det0-910-λ00λ=det-λ-91-λ=λ2--9=λ2+9

Q: Use a software program or a graphing utility to find the eigenvalues of the matrix.

A: We can use an online tool called Wolfram Mathematica.

Q: Give an example of a 2 x 2 matrix with no real eigenvalues.

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Q: ; find value of matrix A eigen -2 3 A = 2 | -4 2.

A: To find the eigen value of matrix A.A=31-20211-42

Q: The Eigen values of the matrix [P] = are 2 -5 4-

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Q: Use a software program or a graphing utility to find the eigenvalues of the matrix.

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Q: What is the set containing all the eigenvectors of the matrix 2. {[:} 2 -1

A: The eigenvalues of any matrix are given by the values of λ for which det (A-λIn) = 0. The given…

Q: Give an example of a 2 × 2 matrix with no real eigenvalues.

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Q: If A and B are similar matrices then they have the same eigenvalues with the same multiplicities.…

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Q: Find the eigenvalues of the triangular or diagonal matrix.

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Q: use some form of technology to directly determine the eigenvalues and eigenvectors of the given…

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Q: Find the eigenvalue and eigenvector of the matrix:

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Q: Find the eigenvectors corresponding to each value of the matrix.

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Q: Find a 2x2 matrix A that has two eigenvalues 4, -1 whose eigenvectors -3 and -1 1

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Q: If A and B are diagonalizable nxn matrices and have the same eigenvalues with same multiplicites,…

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Q: Construct a nontriangular 2 X 2 matrix with eigen­values 2 and 5.

A: Given: Nontriangular 2×2 matrix with eigen values 2 and 5Cλ=λn-Trace of Aλn-1 +sum of minor…

Q: Find the eigenvalues and bases for the eigenspace of the matrix [5 2 -1 1 2

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Q: find the eigenvalues corresponding to the matrix A. - diagonalize the matrix A

A: A matrix is a mathematical object containing numbers arranged in rows and columns. If the number of…

Q: Find the three distinct real eigenvalues of the follwoing matrix

A: To Find the three distinct real eigenvalues of the follwoing matrix

Q: Find the eigenvalues of the matrix. 0 0 0 - 5 2 0 0-7

A: Eigen values are the special set of scalars associated with the system of linear equations. It is…