Compute the eigenvalues of matrix A and its inverse -3 1 -1 4 2 A = [23] and A-¹ | If A has eigenvalues λ1 and λ2, then its inverse A-¹ has eigenvalues: λ1 and λ and λ1 12 O (-1) and (-12)

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…

Q: A be an orthogonal n by n real matrix where n is an odd number. Show that 1 or -1 must be an…

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Q: Determine if X = -3 is an eigenvalue of the matrix A = V 2 6 -12 0 0 -9-4 24 11

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Q: and suppose A is a 3 x 3 matrix such 3 11. Let X1 , X2 = ,X3 1 that Axı = 2x1, Ax2 = 2x2, Ax3 = X3…

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Q: Suppose A is a 3 × 3 matrix with real entries that has a complex eigenvalue -8 - i -2-51] with…

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Q: 2 Find the eigenvalues and the eigenvectors of these two matrices: [24] eigenvectors as A. Its…

A: If  λ is the eigenvalue  of the matrix A then  | A - λI | =0 If X is the eigen vector corresponding…

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: The matrix -644 -1728] A 240 644 has eigenvalues ₁ = 4, and A₂ = -4. The corresponding eigenvectors…

A: Solution of the given question is like as