?Cayley-Hamilton We have met these nineteenth-century mathematicians before: Cayley in
Chapter 5, Problem 64(choose chapter or problem)
Cayley-Hamilton We have met these nineteenth-century mathematicians before: Cayley in Sec. 3.1 and Hamilton in Sec. 3.5. They proved the following theorem.
Cayley-Hamilton Theorem
A matrix satisfies its own characteristic equation.
If λ2 + bλ + c = 0 is the characteristic equation of the 2 ⨉ 2 matrix A, for example, then A2 + bA + cI = 0. Verify this for each matrix in Problems 63-66.
\(\left[\begin{array}{rr} 0 & 1 \\ -1 & 0 \end{array}\right]\)
Equation Transcription:
Text Transcription:
[0 1 _ -1 0]
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