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Index Index

additive identity Item
additive inverse Item
augmented matrix Definition
basis Definition
standard Definition
bound variables Definition
closed under addition Item
closed under scalar multiplication Item
coefficient matrix Definition
dot product Paragraph
eigenspace Definition
eigenvalue Definition
eigenvector Definition Definition
equation
linear Definition
vector Remark
equivalence relation Exploration
equivalent matrices Definition
Euclidean
vector Definition
vector space Note
free variables Definition
Gauss-Jordan elimination Remark
homogeneous Definition Remark
identity matrix Fact
image Definition
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
nontrivial Definition
null space Definition
pivot Item
reduced row echelon form Definition
row operations Definition
row space Item
scalar Definition
solution set Definition
standard basis 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