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Vector Spaces

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Overview

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This course develops vector space concepts through examples, covering subspaces, nullspaces, linear independence, coordinates, bases, dimension, infinite-dimensional spaces, and integration via change of coordinates.

Syllabus

linear algebra vector space (25 examples).
Subspace.
Not subspace.
Span is a subspace.
Nullspace of a matrix.
Nullspace is a subspace.
Linear Independence.
Coordinates.
Coordinates matrix.
Change of coordinates.
Basis and dimension.
Check something is a basis.
Nullspace Column Space and Rank.
Infinite dimensions.
Integrate via change of coordinates.

Taught by

Dr Peyam

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