Minimal Polynomial Divides Characteristic Polynomial Theorem

Corrolary

• With $p$ as the Minimal Polynomial for $T$
• With $f$ as the Characteristic Polynomial for $T$
• Then, the $p$ divides $f$

Corrolaries

• Minimal Polynomial has Same Roots as Characteristic Polynomial
• Minimal Polynomial has Same Prime Factors as Characteristic Polynomial