Suppose A is a 3 x 3 matrix with real entries that has a complex eigenvalue 8+4i with corresponding eigenvector Eigenvalue= Eigenvector = -8-4i 1 -gi . Find another eigenvalue and eigenvector for A.

Q: What is the relationship between the characteristic polynomial and the eigenvalues of A?

A: Here. We have to find the relationship between eigenvalues and characteristics polynomial.

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: Suppose that a 2 x 2 matrix A has an eigenvalue 3 with corresponding eigenvector L and an…

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Q: Suppose that x is an eigenvector of a matrix A with corresponding eigenvalue 6. Then x is an…

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Q: A = X 1 and B = [X = [11] 0 L1 alue of x that make BxA is Eigen matrix

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Q: Which matrices have negative eigenvalues?

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Q: Find the dimension of the eigenspace corresponding to the eigenvalue 1 = -3. -3 0 -3 1 0 -3

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Q: A be an orthogonal n by n real matrix where n is an odd number. Show that 1 or -1 must be an…

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Q: Find a 2×2 matrix A with the following properties: Each eigenvalue is a complex number with modulus…

A: We have to find a  matrix in which each eigen value is complex number with modulus equal to  and…

Q: Let A be a 3 x 3 matrix with eigenvalues 7/2, 7//4, 7/8. If the eigenvalues of A- are A1,2, 13, then…

A: we have given eigen values of matrix A these are 7/2,7/4,/7/8 As we know eigen value of A-1 =1/lemda…

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 the eigenvalues and eigenvectors of Pauli- X and Pauli- Y operators. Show that their…

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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: What is the eigenvectors of the matrix 64 A = O None of the others

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Q: q= 2 1-4 1 -1 FOR 2X2 matrix, Compute At. - find eigenvalues. find eigen e → compute At > At_V/V…

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Q: Give an example of a matrix A with the order 2x2 along with two vectors a and b, with terms a is an…

A: Use simple matrix theory of eigenvalues to come up with this example

Q: Find all the eigenvalues (real and complex) of the matrix -5 3 A -2 -5

A: Solution: Given:       A = -53-2-5

Q: Determine all real eigenvalues, with their algebraic multiplicities. Hence, establish the similar…

A: Solution of the problem as follows

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: Find the matrix A of the quadratic form assoe 2x2 - 3xy - 2y2 + 11 = 0 A = Find the eigenvalues of…

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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: 2 Find the eigenvalues and the eigenvectors of these two matrices: [24] eigenvectors as A. Its…

A: If  λ is the eigenvalue  of the matrix A then  | A - λI | =0 If X is the eigen vector corresponding…

Q: 1 1 1 1

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Q: Select any 2 by 2 matrix and find its eigenvalues and corresponding eigenvectors.

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Q: Suppose A has eigenvalue 2 corresponding to eigenvector , and eigenvalue – 2 corresponding to…

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