Find a 3 x 3 matrix satisfying the following properties: • A has two eigenvalues: X₁ 2 The vectors V₁ = • The vector V3 = -3 = -5 and X₂ and V2 = = -4. A = a11 a12 a13 a21 a22 a23 a31 a32 a33 are eigenvectors of A corresponding to X₁. is an eigenvector of A corresponding to X2.

Q: A5 Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are λ₁ = -2, A₂ = 4, and X3 = 1. If B. =…

A: Matrix X is contain eigen vectors  Matrix D contains eigenvalues

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.

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A: Proceed as shown

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Q: Let A be a 3×3 symmetric matrix. Assume that A has two eigenvalues: A1 = 0, and X2 = 2. The vectors…

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A: We have to find the basis of eigen space corresponding to given eigen value

Q: Let A be a 3×3 symmetric matrix. Assume that A has three eigenvalues: A1 = -1, A2 = 2, and A3 = 5.…

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Q: Let A be a 3x3 symmetric matrix. Assume that A has two eigenvalues: A₁ = 0, and X₂ = 2. The vectors…

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