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Deep math for machine learning
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Module 1
Vector Spaces and Subspaces
1
Introduction to Vector Spaces
Define a vector space and verify the vector space axioms for given sets
2
Subspace Verification
Identify and prove whether a given subset of a vector space is a subspace
3
Understanding and Computing Vector Spans
Define and compute the span of a set of vectors
4
Linear Independence and Dependence of Vectors
Determine the linear independence or dependence of a set of vectors
5
Understanding and Proving Bases for Vector Spaces
Define a basis and prove that a given set of vectors forms a basis for a vector space
6
Dimension of Vector Spaces
Define and compute the dimension of a vector space and its subspaces
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