Index Index
augmented matrix Definition
basis Fact
of an image Observation
of a kernel Observation
of a solution space Fact
of a subspace Definition
of a vector space Definition
bound variables Definition
change of basis Definition
characteristic polynomial Definition
closed
under addition Item
under scalar multiplication Item
co-domain Definition
coefficient matrix Definition
column space Observation Observation Activity
consistent linear system Fact Fact Definition
determinant Remark Figure Definition
dimension Definition Fact
domain Definition
dot product Paragraph
eigenspace Definition
eigenvalue Definition
eigenvector Definition
equivalence relation Exploration
equivalent matrices Definition
Euclidean
vector Definition
vector space Note
free variables Definition
Gauss-Jordan elimination Remark
homogeneous Exploration Definition Remark
identity matrix Fact
image Definition
inconsistent linear system Fact Fact Definition
injective Definition Fact
inverse
map Definition
matrix Definition
invertible
linear transformation Definition
matrix Definition
isomorphic Observation Fact
isomorphism Fact
kernel Definition
linear
combination Definition
dependence Definition
equation Definition
independence Definition
system Definition
transformation Definition
matrix Definition
product Definition
non-singular matrix Exploration
nontrivial eigenvector Definition
null space Definition
nullity Observation
one-to-one. See injective
onto. See surjective
pivot Definition
rank
of a linear transformation Observation
of a matrix Exploration
rank-nullity theorem Observation
reduced row echelon form Definition
row
operations Definition
space Activity
scalar Definition
solution
of a linear equation Definition
set Definition Fact Remark
span Definition Fact
standard
basis Definition
form of a linear system Remark
matrix Definition
subspace Definition Definition
surjective Definition Fact
symmetric matrix Exploration
system of linear equations Definition
