292/1000 | "Cayley Hamilton Theorem: Proof and Verification | Linear Algebra Tutorial"

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In this Video, we will learn: 00:00 Verify that the Matrix A satisfies its own characteristic Equation. Is it true for every square matrix? Stare the theorem that applies Here. 00:40 Statement of Cayley Hamilton Theorem 00:51 Is Cayley Hamilton Theorem true for every square matrix? 01:20 Equate Characteristic Equation in Determinant form equals to Zero. 01:42 What is Characteristic Matrix 02:20 |A-λI|=0 03:59 Difference between Characteristic Polynomial and Characteristic Equation 04:35 Square matrix Satisfies its own characteristic Equation 07:00 Conclusion: Verify that the Matrix A satisfies its own characteristic Equation