Finding Rational Form of Matrix Example 2

Example

Find the rational form for the Linear Operator $T\in \mathcal{L}(V)$ with:

• Characteristic Polynomial $f(x)=(x-2{)}^2(x-3{)}^3(x^2+1)$

Soln

Note that the Minimal Polynomial is $f(x)=(x-2)(x-3)(x^2+1)$