Find the eigenvalues and cigenvectors of the following matrix.

Q: a) Determine the eigenvalues and eigenvectors of the following matrix. 3 -2 1 2 -4 3 l16 -4 1

A: Given matrix is  3-212-4316-41xyz=λxyz  ∴A=3-212-4316-41 The characteristic equation of A is…

Q: List any two properties of eigenvalues of a square matrix. Explain it in your own way and support it…

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Q: Construct a 3x3 non-triangular matrix which has three distinct eigenvalues. Determine eigenvalues…

A: We Construct a 3x3 non-triangular matrix which has three distinct eigenvalues. Determine eigenvalues…

Q: Suppose B = XAX2, where X is the eigenvector matrix of B and A is its eigenvalue matrix. Compute the…

A: Please check step 2 for the solution.!

Q: If the eigenvalues of a 3×3 matrix A is 1, −2 and 20, what are the eigenvalues of A-1?

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Q: If A be nxn matrix with eigen value L then find the eigen value of inverse of A .

A: The given matrix A be an n×n matrix with eigenvalue L. Calculate the eigen value of inverse of A.

Q: Suppose a 3 x 3 real matrix A has only two (real) distinct eigenvalues. Suppose that tr(A) = -1 and…

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Q: Show that if the entries of each column of an n × n matrix add up to 1, then λ = 1 must bean…

A: First, let's understand the problem. We are given an n × n matrix, where the sum of the entries in…

Q: Show that the eigenvalues of a diagonal matrix are its diagonal elements.

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