Additive inverse 12
Basis 43
Cancellation law 12
Column vector 8
Chain 60
Degree of a polynomial 10
Diagonal entries of a matrix 8
Diagonal matrix 19
Dimension 47
Finite-dimensional space 47
Generates 31
Infinite-dimensional space 47
Lagrange interpolation formula 53
Lagrange polynomials 52
Linear combination 25
Linearly dependent 37
Linearly independent 38
Matrix 8
Maximal element of a family of sets 59
Maximal linearly independent subset 60
n-tuple 8
Polynomial 10
Row vector 8
Scalar 7
Scalar multiplication 6
Sequence 11
Span of a subset 30
Spans 31
Square matrix 9
Standard basis for 43
Standard basis for 44
Subspace 17
Subspace generated by the elements of a set 31
Symmetric matrix 18
Trace 19
Transpose 18
Upper triangular matrix 19
Trivial representation of 0 37
Vector 7
Vector addition 6
Vector space 6
Zero matrix 9
Zero polynomial 10
Zero subspace 17
Zero vector 12
Zero vector space 15