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Definition of inner product
Definition of inner product space

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Definition of inner product

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Definition of inner product spaceClose match
Inner productsClose match
The standard inner product on R^n commutes with (real) scalar multiplication.Close match
The standard inner product on R^n (or C^n) distributes over addition.Close match
Definition of inner/dot product on R^nClose match
Definition of inner/dot product on C^nClose match
The standard inner product on R^n is commutative.Close match
The standard inner product of a vector with itself is non-negativeClose match
Inner products in coordinate spacesClose match
Complex inner products conjugate scalars in the first argumentClose match
The complex inner product is conjugate symmetricClose match
The standard inner product on C^n can be written as the product of a vector and the adjoint of a vector.Close match
The standard inner product of a vector with itself is 0 only for the 0 vectorClose match
The inner product of a vector with itself is the square of its norm/length.Close match
The standard inner product on R^n can be written as the product of a vector and the transpose of a vector.Close match
Definition of distance between vectorsClose match
Definition of length/norm of a vectorClose match
Definition of matrix-vector productRelated
Matrix-vector product is associativeRelated
Example of matrix-vector productRelated

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