The Cayley-Hamilton theorem is an interesting result in theoretical linear algebra. It says that any  matrix satisfies its own characteristic equation. For instance, if the characteristic polynomial...

The Cayley-Hamilton theorem is an interesting result in theoretical linear algebra. It says that any
 matrix satisfies its own characteristic equation. For instance, if the characteristic polynomial for a matrix
 is

<sup>3

2</sup>
 then

<sup>3

2</sup>
 Verify the Cayley-Hamilton theorem for each matrix. Note: The MATLAB function poly(A) returns a vector containing the coefficients of A’s characteristic polynomial from highest to lowest power of