The meaning of \(A^{T}\)
- Steady state equilibrium
- Graph Laplacian matrix \(A^{T}CA\)
- Differential equation and Laplacian matrix
- Derivative is a graph without branch.
- Row space and column space are dual.
- \(A\) and \(A^{T}\) are dual.
ref) Linear algebra and learning from data, Part IV, Gilbert Strang