An Introduction to Linear Algebra
Courier Corporation, 1 janv. 1990 - 440 pages
Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter. "The straight-forward clarity of the writing is admirable." — American Mathematical Monthly. Bibliography.
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addition algebra applied assertion associated assume basis bilinear called characteristic roots coefficients columns complex consider consisting convergent coordinates COROLLARY corresponding course Deduce defined denote dependent determinant diagonal matrix discussion distinct elements equal equation equivalence established example EXERCISE exists expressed fact Find follows functions further geometry given Hence hermitian form identity implies important inequality integers introduction invariant isomorphic least linear manifold linear transformation linearly independent means minor multiplication non-singular non-zero normal numbers nxn matrix obtain obvious once operator orthogonal matrix particular polynomial positive definite possesses problems proof properties prove quadratic form rank reduces relation representation represented respect result rotation satisfies scalar Show similar singular solution square suppose symmetric symmetric matrix Theorem theory tion triangular unique unit unitary values variables vector space write zero