Find a 3 x 3 symmetric matrix M with eigenvalues A1 = 1 and X2 = 3 whose geometric multiplicities are 2 and 1 respectively, such that: %3D 1. (1, –1, 1)', (2, 0, 1)' are eigenvectors for 2. 2. (–1,1,2)' is an eigenvector for 3.

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 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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A: Proceed as shown

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A: We are given that A is a 3 x 3 matrix having eigenvalues λ1=-6, λ2=-2, and λ3=5. We are given the…

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Q: 3х3 real inant of

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

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Q: The matrix T has eigenvalues and eigenvectors: • v = 1 with A =1. -1 1 with = 0. • V3 with A- Sive…

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Q: 2) Let A is 2 x2 matrix with 4 and -3 eigenvalues and suppose that is an eigenvector for the value 4…

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Q: -2 3.

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A: For a matrix B ,if λ is an eigen value and  X is the corresponding eigen vector then    BX = λX

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