Linear Algebra

Front Cover
Courier Corporation, 1977 - Mathematics - 387 pages
4 Reviews
Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.
 

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Contents

DETERMINANTS
1
LINEAR SPACES
31
SYSTEMS OF LINEAR EQUATIONS
58
LINEAR FUNCTIONS OF A VECTOR ARGUMENT
75
COORDINATE TRANSFORMATIONS
118
THE CANONICAL FORM OF THE MATRIX OF A LINEAR OPERATOR
133
BILINEAR AND QUADRATIC FORMS
179
EUCLIDEAN SPACES
214
UNITARY SPACES
247
QUADRATIC FORMS IN EUCLIDEAN AND UNITARY SPACES
273
FINITEDIMENSIONAL ALGEBRAS AND THEIR REPRESENTATIONS
312
CATEGORIES OF FINITEDIMENSIONAL SPACES
335
HINTS AND ANSWERS
361
BIBLIOGRAPHY
379
INDEX
381
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