Linear Algebra and Matrix Theory (Dover Books on Mathematics) Info
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Advanced undergraduate and first-year graduate students
have long regarded this text as one of the best available works on
matrix theory in the context of modern algebra. Teachers and students
will find it particularly suited to bridging the gap between ordinary
undergraduate mathematics and completely abstract mathematics.
first five chapters treat topics important to economics, psychology,
statistics, physics, and mathematics. Subjects include equivalence
relations for matrixes, postulational approaches to determinants, and
bilinear, quadratic, and Hermitian forms in their natural settings. The
final chapters apply chiefly to students of engineering, physics, and
advanced mathematics. They explore groups and rings, canonical forms for
matrixes with respect to similarity via representations of linear
transformations, and unitary and Euclidean vector spaces. Numerous
examples appear throughout the text.