40 0 4. 8 4 8 0 0 4

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: The matrix 0 A = 0 -1 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2.…

A: Given: A=-1000000-1-1 To find: Eigenvalues and a basis for eigenspace.

Q: Compute the characteristic polynomial of 16 17 and use it to get the eigenvalues.

A:

Q: Find a 2 x 2 matrix A such that are eigenvectors of A with eigenvalues 4 and -10, respectively. A =…

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Q: Let A = -1 -i a. Find the characteristic polynomial. b. Find the eigenvalues. c. Find the…

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

A:

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: Find the characteristic polynomial, eigenvalues for the following matrix: -2 -1 A = 1 -2 -2 -1

A: To find  The characteristic polynomial and the eigen values of the given matrix.

Q: This matrix has repeated eigenvalues for which value(s) of a? M= a -1 4 4

A: We have to find the values of a for which the matrix M has repeated eigenvalues. We know that a 2×2…

Q: Find the eigenvalues and the corresponding eigenspaces for each of the following matrices:

A:

Q: Let. A be an eigenvalue of an n x n matrix A. Show that. 1² -3 is an eigenvalue of 31

A: Given :  λ is an eigen value of an n×nmatrix  A . We have to prove that  λ2-3 is an eigen value of…

Q: Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter…

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Q: Find the characteristic polynomial and the eigenvalues of the matrix : State the multiplicity of…

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

A: Solution of the problem as follows

Q: If all eigen values of A matrix is zero,then A=0

A: To find - If all eigen values of A matrix is zero, then A=0

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: 2. Find all solutions, or show there are none, to the congruence X78 = 5 (mod 19)

A: By Fermat little theorem x18≡1mod19. Therefore, x4×18+6≡x6mod19 or x78≡x6mod19.

Q: Find the matrix A that has the given eigenvalues and corresponding eigenvectors. 11 = 3> = 1 = A =

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Q: y" + 4y' + 4y = (3 + x)e¯2x, y(0) = 2, y'(0) = 5

A: See the attachment