advanced-linear-algebra

Minimal versus characteristic polynomial

taught

The minimal polynomial always divides the characteristic polynomial, and shares its roots (though generally not their multiplicities) -- two related but genuinely different polynomials attached to the same operator.

Taught in

Minimal versus characteristic polynomial
Advanced Linear Algebra

Requires

the-minimal-polynomial required
the-characteristic-polynomial required

Required by

Diagonalizability and the minimal polynomial's roots required
Primary decomposition required

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