Rational canonical form

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Let A be a 4x4 matrix with minimal polynomial m(t)=(t^2 + 1)(t^2 - 3). Find the rational canonical form for A if A is a matrix over (a) the rational field Q (b)the real field R, (c) the complex field C.

© BrainMass Inc. brainmass.com February 24, 2021, 2:27 pm ad1c9bdddf
https://brainmass.com/math/linear-algebra/rational-canonical-form-linear-algebra-22122

Solution Preview

See attachment

is a matrix, its minimal polynomial is . We consider the following ...

Solution Summary

This shows how to find the rational canonical form for a matrix with given properties.

$2.19