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Index Index

additive identity, Item
additive inverse, Item
augmented matrix, Definition
bound variables, Definition
closed under addition, Item
closed under scalar multiplication, Item
coeefficient matrix, Definition
column space, Item
determine, Fact
dot product, Paragraph
eigenspace, Definition
eigenvalue, Definition
eigenvector, Definition Definition
equivalence relation, Exploration
equivalent matrices, Definition
Euclidean
vector space, Note
Euclidean vector, Definition
free variables, Definition
Gauss-Jordan elimination, Remark
homogeneous, Definition Remark
identity matrix, Fact
inverse map, Definition
inverse matrix, Definition
invertible, Definition
isomorphic, Observation Fact
isomorphism, Fact
kernel, Definition
linear combination, Definition
linear equation, Definition
solution, Definition
linear system, Definition
consistent, Definition
inconsistent, Definition
linear transformation, Definition
linearly dependent, Definition
linearly independent, Definition
matrix, Definition
non-singular, Exploration Problem
nontrivial, Definition
pivot, Item
rank, Item
Reduced row echelon form, Definition
row operations, Definition
row space, Item
scalar, Definition
solution set, Definition
span, Definition
standard, Definition
standard matrix, Definition
subspace, Definition
symmetric matrix, Exploration
system of linear equations, Definition
vector, Definition
Euclidean, Definition
vector equation, Remark
vector space, Definition Item Item