Ebook: Linear Algebra

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Content:
Front Matter....Pages i-vii
Vectors in the plane and space....Pages 1-12
Vector spaces....Pages 13-19
Subspaces....Pages 20-25
Examples of vector spaces....Pages 26-32
Linear independence and dependence....Pages 33-39
Bases and finite-dimensional vector spaces....Pages 40-53
The elements of vector spaces: a summing up....Pages 54-61
Linear transformations....Pages 62-86
Linear transformations: some numerical examples....Pages 87-98
Matrices and linear transformations....Pages 99-106
Matrices....Pages 107-124
Representing linear transformations by matrices....Pages 125-145
More on representing linear transformations by matrices....Pages 146-156
Systems of linear equations....Pages 157-182
The elements of eigenvalue and eigenvector theory....Pages 183-215
Inner product spaces....Pages 216-245
The spectral theorem and quadratic forms....Pages 246-273
Back Matter....Pages 275-280

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Content:
Front Matter....Pages i-vii
Vectors in the plane and space....Pages 1-12
Vector spaces....Pages 13-19
Subspaces....Pages 20-25
Examples of vector spaces....Pages 26-32
Linear independence and dependence....Pages 33-39
Bases and finite-dimensional vector spaces....Pages 40-53
The elements of vector spaces: a summing up....Pages 54-61
Linear transformations....Pages 62-86
Linear transformations: some numerical examples....Pages 87-98
Matrices and linear transformations....Pages 99-106
Matrices....Pages 107-124
Representing linear transformations by matrices....Pages 125-145
More on representing linear transformations by matrices....Pages 146-156
Systems of linear equations....Pages 157-182
The elements of eigenvalue and eigenvector theory....Pages 183-215
Inner product spaces....Pages 216-245
The spectral theorem and quadratic forms....Pages 246-273
Back Matter....Pages 275-280
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