Suppose A is a 3 × 3 matrix with real entries that has a complex eigenvalue -8 - i -2-51] with corresponding eigenvector -1 -9i Find another eigenvalue and eigenvector for A. Eigenvalue = -8+i -2-5i Eigenvector = -1 -9i

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 -10 -3] A -5 has eigenvalues – 7 and –8. Find its eigenvectors.

A: The given problem is to find the eigenvalues and eigen vectors for the given matrix A, first we have…

Q: Suppose the 3 × 3 matrix A has eigenvalues λ1 = −6, λ2 = −2, and λ3 = 5.

A: according to guidelines we can solved only first 3 subparts thank you   We have the eigen values of…

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Q: A = -53 -70 35 45

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A: Given:          A=2-10-310-6-617-10 To get Eigenvalues    A-λI=0       2-λ-10-310-λ-6-617-10-λ=0

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Q: Find eigenvector for 2 = 2 and given matrix A. X2= X3= Submit the Answer 2 Question 2 grade: 6. 3 A…

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Q: Find all the eigenvalues (real and complex) of the matrix The eigenvalues are M = -4 -5 5 6 -1 -5 -2…

A: To find the eigenvalues of the given matrix if we solve the characteristic equation M-Iλ=0

Q: List the eigenvalues of the matrix A1, A2= 1, -2 Find an eigenvector v₁ for A₁ = -2: 3 10] -1-4]

A: Here, we have to find eigenvalues of given matrix and find an eigenvector corresponding to…

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Q: 6. For the symmetric matrix A = 122 200 202 , you are given the following information about A: •…

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Q: Let -1 B := 1 (a) Find the eigenvalues and eigenvectors of B (b) Use your answers in part (a) to…

A: The given matrix is,

Q: Find the eigenvalues 11 <12 and associated unit eigenvectors 1, 2 of the symmetric matrix 8 -6 A =…

A: λ1​=−10,u1​​=10​1​(13​)λ2​=10,u1​​=10​1​(−31​)Explanation:Step 1:Step 2: we apply here the formula…

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A: We Know that If the n × n matrix A has real entries, its complex eigenvalues will always occur in…

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Q: A is a matrix with eigenvector 51-31- || 1 of eigenvalue -1 and eigenvector of eigenvalue -2. What…

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Q: A diagonalization of the matrix A is given in the form P-¹AP = D. List the eigenvalues of A and…

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Q: Suppose the characteristic equation for a matrix A is given by X3 + 3X2 – 9A – 27 = 0. Find the…

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