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Rational canonical form

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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.

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

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

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