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References: Galois Theory - Wikipedia https://en.wikipedia.org/wiki/Galois_theory Commutative Ring - Wikipedia https://en.wikipedia.org/wiki/Commutative_ring Commutative Algebra - Wikipedia https://en.wikipedia.org/wiki/Commutative_algebra Commutative Property - Wikipedia https://en.wikipedia.org/wiki/Commutative_property Noncommutative Ring - Wikipedia https://en.wikipedia.org/wiki/Noncommutative_ring Glossary of Ring Theory - Wikipedia https://en.wikipedia.org/wiki/Glossary_of_ring_theory Field - Wikipedia https://en.wikipedia.org/wiki/Field_(mathematics) Module Fundamentals - University of Illinois at Urbana-Champaign https://faculty.math.illinois.edu/~r-ash/Algebra/Chapter4.pdf Linear Transformation (Linear Map) - Wikipedia https://en.wikipedia.org/wiki/Linear_map Vector Space - Wikipedia https://en.wikipedia.org/wiki/Vector_space Scalar - Wikipedia https://en.wikipedia.org/wiki/Scalar_(mathematics) Lattice (Order) - Wikipedia https://en.wikipedia.org/wiki/Lattice_(order) Lattice (Group) - Wikipedia https://en.wikipedia.org/wiki/Lattice_(group) Infimum and Supremum - Wikipedia https://en.wikipedia.org/wiki/Infimum_and_supremum Algebra Over a Field - Wikipedia https://en.wikipedia.org/wiki/Algebra_over_a_field Ring Theory - Wikipedia https://en.wikipedia.org/wiki/Ring_theory Ring - Wikipedia https://en.wikipedia.org/wiki/Ring_(mathematics)
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In this lecture, the professor talked about linear operators and matrices, etc.
In this lecture, the professor talked about vector spaces and dimensionality.
In this lecture, the professor talked about eigenvalues and eigenvectors of hermitian operators acting on complex vector spaces, inner products on a vector space, etc.
In this lecture, the professor talked about linear functionals and adjoint operators, Hermitian and unitary operators, etc.
This video shows the ABC of Vector Spaces, with examples.
This video describes the concept of a basis for a vector space.
Calculus Revisited: Calculus of Complex Variables, Differential Equations, and Linear Algebra
Herb Gross describes n-Dimensional Vector Spaces relating definitions to the concept of a mathematical structure.
Sums and quotients of vector spaces - Conclusion of Section 3.6, printed slides 57-60. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951
Sums and quotients of vector spaces - Conclusion of Section 3.6, printed slides 57-60. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951
Sums and quotients of vector spaces - Section 3.6, printed slides 55-57. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951
Sums and quotients of vector spaces - Section 3.6, printed slides 55-57. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951