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Definition of inner product
Definition of inner product space

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Definition of inner product space

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Definition of inner productClose match
Inner productsClose match
Definition of inner/dot product on R^nClose match
Definition of inner/dot product on C^nClose match
Inner products in coordinate spacesClose 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 on R^n (or C^n) distributes over addition.Close match
The standard inner product on R^n is commutative.Close match
The standard inner product on R^n commutes with (real) scalar multiplication.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
The standard inner product of a vector with itself is non-negativeClose match
Definition of distance between vectorsClose match
The complex inner product is conjugate symmetricClose match
Complex inner products conjugate scalars in the first argumentClose match
The standard inner product of a vector with itself is 0 only for the 0 vectorClose match
Definition of subspaceRelated
Definition of intersection of subspacesRelated
Definition of subspace spanned by a set of a set of vectorsRelated
Definition of isomorphic/isomorphism between vector spacesRelated
Definition of eigenspace of a matrixRelated

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