The matrix A = -2 -4 0 2 4 0 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a -2 -2 2] basis of each eigenspace. A₁ = A₂ = has multiplicity 1, with a basis of has multiplicity 2, with a basis of

Q: Find the matrix A of the quadratic form associated with the equation. 6x2 - 5xy - 6y2 + 8 = 0 6 -5/2…

A:

Q: A = -53 -70 35 45

A:

Q: Find the eigenvalues of the given system of linear equations *; +3x, = 2x, 4x. +2x, = Ar, %3D

A:

Q: 92 Solve the PE Eup (Initial value 79₁ 1 O O 01 1 problem) its inco)

A:

Q: -3 -3 0 0 -3 -3 0 0 0 0 -3 -3 0 0 -3 -3 Find the eigenvalues and an orthonormal basis for each…

A:

Q: A diagonalizable 5x5 matrix A has eigenvalues 0,0,0,4,5 (i.e., 0 is a triple eigenvalue and 4,5 are…

A:

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

A:

Q: 5 -1 0 -5 9 5 -1 0,

A:

Q: The matrix A= -4 -4 8 2 2 -4 has two real eigenvalues, one of multiplicity 1 and one of multiplicity…

A: Given:The given matrix is .To Find:We have to determine the eigenvalues and the basis of each…

Q: Qi/ Find the eigen values and the assotiated eigen vectors of the following matrix: [5 7 -5] A = 0 4…

A: Using charectristic equation A-lembda i=0

Q: Find all of the eigenvalues of the matrix A over the complex numbers C. Give bases for each of the…

A: The answer is given below.Explanation:

Q: has eigenvalues A₁ H = 1 and A₂ = 5. The bases of the eigenspaces are v₁ the matrix A= 12 Find an…

A: We have to find the S and D matrix

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

A:

Q: 8 A = -2 -2 -6 has one real eigenvalue. Find this eigenvalue and a basis of the eigenspace. The…

A: Given a matrix : A=2080-20-20-6 We need to find the eigenvalue and a basis for the eigenspace. Let's…

Q: Find the three distinct real eigenvalues of the matrix

A: In this question, we have to find the eigenvalues of the given matrix. For this first, we find the…

Q: satrix [7 0 -10] A = 1 2 -2 20 -2 vo real eigenvalues, A₁ = 2 of multiplicity 2, and X₂ = 3 of…

A:

Q: The trace and determinant of a 2 x 2 matrix are known to be -2 and -35 respectively. Its eigenvalues

A: solution :given that trace=-2and determinant =-35 of a 2×2 matrix .we know that trace =…