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The 0 vector is unique.
The additive inverse of a vector is unique.
The 0 scalar multiplied by any vector equals the 0 vector.
The 0 vector multiplied by any scalar equals the 0 vector.
If the product of a vector and a scalar is 0
The additive inverse of a vector equals the vector multiplied by -1.

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The additive inverse of a vector is unique.

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The additive inverse of a vector is called the negative of the vector.Close match
The additive inverse of a vector equals the vector multiplied by -1.Close match
The 0 vector is unique.Close match
The 0 scalar multiplied by any vector equals the 0 vector.Close match
A vector can be written uniquely as a sum of a vector in a subspace and a vector orthogonal to the subspace.Close match
Basic propertiesClose match
Definition of vector additionClose match
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Definition of 0 vectorClose match
The conjugate of a sum of vectors in C^n is the sum of the conjugatesClose match
Matrix inverses are unique: if A and B are square matricesClose match
The 0 vector multiplied by any scalar equals the 0 vector.Close match
The inverse of an isomorphism is an isomorphism.Close match
If the product of a vector and a scalar is 0Related
A vector can be written uniquely as a linear combination of vectors from independent subspaces.Related
The inverse of a scalar multiple is the reciprocal times the inverse.Related
The inverse of a matrix can be used to solve a linear system.Related
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Matrix inverse is an involution.Related

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