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For example, A = 2 1 0 2 and B = 2 3 0 2 . (d) Find a matrix which has two diп¬Ђerent sets of independent eigenvectors. (This is called the Cayley-Hamilton theorem.) Basic Concepts In Linear Algebra and Vector Spaces - A Tutorial with Examples and Solved Problems Linear Algebra Eigenvalues, eigenvectors, Cayley Hamilton Theorem:

For example, A = 2 1 0 2 and B = 2 3 0 2 . (d) Find a matrix which has two diп¬Ђerent sets of independent eigenvectors. (This is called the Cayley-Hamilton theorem.) Cayley-Hamilton Theorem: Example 1; Cayley-Hamilton Theorem Example 2; Example of Invariant Subspace; Overview of Jordan Canonical Form; Example of Jordan Canonical

Cayley-Hamilton Theorem: Example 1; Cayley-Hamilton Theorem Example 2; Example of Invariant Subspace; Overview of Jordan Canonical Form; Example of Jordan Canonical Mathematics 3: Algebra Workshop 7 Nilpotent matices by the Cayley-Hamilton Theorem, П‡(A) = An = 0, making A nilpotent. Then, using (b), we have (c) in full.

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