Inner product
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Definition
Inner Product of two vectors
Given twoN-by-1 column vectors v and u, the inner product is defined as the scalar quantity α resulting from
- <math> \alpha \ \ = \ \ < \bold{v} , \bold{u} > \ \ =
\ \ \bold{v^{*T}} \ \bold{u} \ \ = \ \ \bold{v^{H}} \ \bold{u} </math>
where <math> \bold{v^{*T}} \ \ </math> or equivalently <math> \ \ \bold{v^{H}} </math> indicates the conjugate transpose operator applied to vector v.
Inner Product of two continuous functions
Inner Product of two polynomial functions
Applications
See also
- Linear algebra
- Inner product space
- Outer product
- norm
- conjugate transpose
- complex conjugate
- transpose
