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Linear Algebra

This content focuses on the general vector spaces within linear algebra, primarily dealing with finite-dimensional linear transformations and inner product spaces. Information on matrices can be found in the Matrix Algebra category. Even if the content is the same, articles in the linear algebra category may be more abstract or challenging.

The More, the Better: The more you study linear algebra, the better

If you need linear algebra, I recommend studying “linear algebra itself” rather than books like “Linear Algebra for ~”.

Vector Spaces

Quotient Spaces and Cosets

Linear Transformations

Eigenvalues and Diagonalization

Integral Transforms

Dual Spaces

Tensors

Inner Product Spaces

Key References

  • Stephen H. Friedberg, Linear Algebra (4th Edition, 2002)
  • Howard Anton, Elementary Linear Algebra: Applications Version (12th Edition, 2019)

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