Table of contents for Introduction to the theory of canonical matrices / by H.W. Turnbull and A.C. Aitken.
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I. Definitions and Fundamental Properties of Matrices
II. Elementary Transformations. Bilinear and Quadratic Forms
III. The Canonical Reduction of Equivalent Matrices
IV. Subgroups of the Group of Equivalent Transformations
V. A Rational Canonical Form for the Collineatory Group
VI. The Classical Canonical Form for the Collineatory Group
VII. Congruent and Conjunctive Transformations: Quadratic and Hermitian Forms
VIII. Canonical Reductions by Unitary and Orthogonal Transformations
IX. The Canonical Reduction of Pencils of Matrices
X. Applications of Canonical Forms to Solution of Linear Matrix Equations. Commutants and Invariants
XI. Practical Applications of Canonical Reduction
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