Organizes the four key subspaces of a matrix — column space, null space, row space, and left null space — and their relationships # 🧭 Index - [[Column Space]] - A subspace of the transpose of the row space - [[Left Null space]] - The set of all vectors where the transpose of the null space are spanned to the zero vector - [[Null Space]] - A set of vectors that are mapped to the zero vector after transformation - [[Row Space]] - A subspace of a set of vectors that are linearly mapped to a set of vectors