Journal
Long-form notes, Qiskit experiments, and applied optimization thinking.
A structured explanation of basis vectors, row-space bases, why all bases of one space contain the same number of vectors, dimension as degrees of freedom, and its connection to quantum state spaces.
Read note →An intuitive explanation of span, basis, unique coordinates, pivot-column bases, and the connection between linear combinations, Ax=b, and the column space.
Read note →An intuitive introduction to linear independence using Ax=0, including why the zero vector causes dependence, why nearly parallel vectors can remain independent, and why n vectors in R^m must be dependent whenever n>m.
Read note →