Proving any linear transformation can be represented as a matrix
50775
Can any linear transformation be represented by a matrix?
65783
Proving: "The trace of an idempotent matrix equals the rank of the matrix"
76586
How to prove that linear transformations transforms lines into lines
116136
Proof that the inverse of a square matrix is unique
121253
Prove that any complex matrix can be expressed in term of Hermitian and anti-Hermitian matrices
18921
Linear Transformations: Proving 1 dimensional subspace goes to 1 dimensional
146984
Prove: Full Rank and a solution os linear system
94378
Is Linear transformations $T_1,T_2 : \mathbb{R}^n\rightarrow \mathbb{R}^n$ Invertible?
112024
Let $T:V → V$ be a linear transformation where $V$ is finite dimensional.
98298
Prove that bilinear form can be presented as product of linear forms if and only if it has rank one
83970
Proof of an elementary property of Projection Operators
121802
Prove that every self-adjoint unitary linear operator can be expressed in the form $U\alpha = \beta - \gamma$
137920
Proving an equation with invertible matrices
98824
linear transformation $T$ such that $TS = ST$
133449
A proof that an orthogonal matrix with a determinant 1 is a rotation matrix
24004
General form of a linear transformation
18379
Linear transformation $T:\mathbb{R}^{n}\rightarrow\mathbb{R}^{n}$ such that $T^{2}=\lambda T.$