Explanations
Browse explanation pages that build intuition clearly and then connect the idea to notation, graphs, calculators, and formal reasoning.
Showing 3 explanations in Linear Algebra.
ExplanationLinear AlgebraMath Workspace (CAS)
What eigenvectors and eigenvalues mean geometrically
An eigenvector is a direction that survives a linear transformation without rotating away from its own line. The eigenvalue tells you the scale and possible sign flip along that direction.
Open explanation →
ExplanationLinear AlgebraMath Workspace (CAS)
What linear independence means geometrically
Linear independence is the condition that nothing in the list is wasted. Geometrically, each new vector must add a new direction instead of repeating one you already had.
Open explanation →
ExplanationLinear AlgebraMath Workspace (CAS)
What a basis does in linear algebra
A basis is what turns a vector space into something you can navigate. It reaches every vector, and it does so without redundancy, so coordinates become possible.
Open explanation →