FrobeniusReduce

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Returns the Frobenius (rational canonical) form of a square matrix: the block

Forms

FrobeniusReduce[m]

Verified examplesFrobeniusReduce[{{1, 1}, {0, 1}}] → {{0, -1}, {1, 2}}FrobeniusReduce[{{2, 0}, {0, 3}}] → {{0, -6}, {1, 5}}FrobeniusReduce[{{2, 0, 0}, {0, 2, 0}, {0, 0, 3}}] → {{2, 0, 0}, {0, 0, -6}, {0, 1, 5}}FrobeniusReduce[{{1/2, 1/3}, {1/4, 1/5}}] → {{0, -1/60}, {1, 7/10}}FrobeniusReduce[{{I, 0}, {0, 2}}] → {{0, -2*I}, {1, 2 + I}}FrobeniusReduce[{{1, 2}, {3, 4}}, Modulus -> 5] → {{0, 2}, {1, 0}}

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Topics

Matrix Decompositions - Eigen Problem Related Decompositions
New In150 Alphabetical Listing - F
Summary Of New Features In150 - Matrix Reductions
Summary Of New Features In150 - Matrix Reductions

Related

SchurDecomposition Eigenvalues JordanReduce Eigensystem Eigenvectors JordanDecomposition Adjugate AntihermitianMatrixQ AntisymmetricMatrixQ BoxMatrix CauchyMatrix CellularAutomaton

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