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...January world scientic book in x contents preface v symbol index xiii matrix calculus denitions and notation operations linear equations trace determinant eigenvalue problem cayley hamilton theorem projection matrices fourier hadamard transformation of permutation decompositions pseudo inverse vec operator vector norms rank k approximations sequences vectors gram schmidt orthonormalization groups lie algebras commutators anti functions ix kronecker product a practical approach to multilinear algebra second edition scientific publishing co pte ltd http www worldscibooks com mathematics html notations basic properties multiplication direct sum group representation theory inversion partitioned nearest applications spin pauli cliord bell application quantum thermodynamics one dimensional ising model fermi systems dimer two heisenberg hopf lax signal processing clebsch gordan series braid like relations fast transform image compression xi...