-[ 8 3 -15 5 2 Find enough vectors to form a basis of the eigenspace of A corresponding to X₁. -5 -9 -8-27 is A₁ = 2. One eigenvalue of the matrix A

Q: -2 12 Q2: Find eigenvalues and eigenvectors of the matrix A, where A = 5. then Check A = PDP-1, %3D…

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Q: -5 8. 21 3 The vector 4 is an eigenvector for the matrix -8 -18 -2 |. What 4 eigenvalue i does this…

A: Find the eigenvalues for 8213-8-18-247-3The eigenvalues of A are the roots of the characteristic…

Q: Find a basis for the eigenspace corresponding to the eigenvalue. 9 -1 2 A = 3 5 6 ,^ = 8 - 3 3 2 ...…

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Q: 0 -2 0 -2 0 2 0 0 -2| Find the eigenvalues and an orthonormal basis for each eigenspace. 1₁ =₁ The…

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Q: ind positive constants b and n, such that 3n + 2 n.

A: Finding the values of b and no

Q: If 1 4 and v2 are eigenvectors of a matrix A corresponding to the eigenvalues A1 -4 and X2 = 1,…

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Q: 10 An eigen vector of the matrix 18 -4 is -12

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Q: 3. 8. -2 . -3.

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Q: 4 2 ind the Eigen values of the matrix A = |-5 3 2

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Q: has two distinct eigenvalues with A₁ <d₂. The smaller eigenvalue ₁ = 5 eigenspace is 2 The larger…

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Q: 5.1) Find the matrix A if det(A) =2 and the classical adjoint is -1 - 2 ad j(A) = - 6 1 6. 24 4.

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Q: 3 Let A = -4 eigen value. 7 -5 4 0 Let A 1-3 4 -13 eigenvalue = -2 is an eigen vector of A? If so,…

A: Introduction: Let λ be an eigenvalue of a matrix A then the eigenvector v then Av=λv. Given: The…

Q: -4 2 Given: A = 2 -7 4 has eigenvalues -3 and – 12. [-2 4 -7 a) Explain why we know that A is…

A: Given the matrix A=-42-22-74-24-7 has eigenvalues -3 and -12. (b) We will find an orthogonal matrix…

Q: ind a basis for the A = 3 eigenspace of 6 6 A -1 1 -2 4 7

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Q: Find an eigenbasis (a basis of eigenvectors) and diagonalize. -1 -2 7 A = | -13 6 11 - 11 -2 17…

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Q: One eigenvalue of the matrix A 1 12 167 -3 14 12 is A₁ = 5. -10 30 45. Find enough vectors to form a…

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Q: For the matrix A, find (if possible) a nonsingular matrix P such that PAP is diagonal. (If not…

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Q: Find a basis for the eigenspace corresponding to the eigenvalue. 1-2 *=[-+²7) A=* A= -4 8 A basis…

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Q: For a given matrix 2 -2 3 A = |-2 -1 6 %3D 1 2 0 one of the eigenvalues is 3. The other two…

A: Introduction :We have given a matrix , and one eigen value .we have asked to find other two eigen…

Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not…

A: To find- For a matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If…

Q: 31 Q2A)Matrix A [42],find Eigen values of 4².

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Q: 4 4 2 The matrix A = -5 -1 -6 | has an eigenvalue 1 = -2. -2 -3 -1

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Q: The matrix M = L - A2 = 0 0 -2 -2 0 -2 -2 0 -2 Find the eigenvalues and an orthonormal basis for…

A: Given: The given matrix is M=-20-200-20-2-20-200-20-2. The eigenvalues of the matrix M are λ1=-4 and…