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Dual Spaces

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This course develops the concepts of dual spaces, dual bases, transposes, double duals, and annihilators. It also covers rank preservation under transpose and applications to Lagrange interpolation and the Dirac delta.

Syllabus

Dual Space.
Dual basis.
Dual Basis Example.
Transpose Definition.
Transpose Example.
Double Dual.
What the V*****.
Every basis is a dual basis.
Reverse Dual Basis.
T^TT = T ?.
Duality Argument.
Annihilator.
Rank A^T = Rank A.
Dual Lagrange Interpolation.
Dirac Delta.

Taught by

Dr Peyam

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