Decomposition of vector space to produce nilpotent and invertible transformations
119671
Is there an infinite dimensional $V$ such that every linear operator on $V$ is a direct sum of a nilpotent and  an invertible operator?
58572
Prove two commutative linear transformations on a vector space over an algebraically closed field can be simultaneously triangularized
77036
Normed vector spaces over finite fields
61718
Can a basis for a vector space be made up of matrices instead of vectors?
94844
Unitary map between sets of vectors
121495
Decompose vector fields on product manifolds
112231
Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
121636
General linear group of a vector space
145885
Linear transformation preserving orthogonality
87254
The computation of nullity and rank of a linear transformation.
50993
Faithful representations and character tables
92729
Morphism decomposition
108742
Proving commutativity of addition for vector spaces
128867
Inverse of order preserving transformation
113326
Proving orthogonality of vectors in a complex vector space
15062
How connection helps us to identify two different vector spaces?
59647
Vector spaces with fractional dimension