Problems on Cayley Hamilton Theorem | Mathematics | E-Learning

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Mr. M. Ravichandran,
Assistant professor, Department of Mathematics,
Theivanai Ammal College for Women (Autonomous)
Villupuram, Tamilnadu, India.
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Problems on Cayley Hamilton Theorem

Statement: "Every square matrix satisfies its own characteristic equation"

We can verify Cayley Hamilton Theorem for the given matrix by finding the corresponding characteristic equation and replacing λ by the given matrix and multiply the constant term by I (identity matrix), simplifying, we get zero matrix.

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