Find a method↗
Near-dependence of columns can produce a much larger condition number. While the exact rank might be full, the geometric closeness of the columns to a lower-dimensional subspace makes the matrix ill-conditioned, leading to sensitivity in calculations.
Conditions: The columns are linearly independent but nearly dependent.; The matrix has full exact rank.
3:24 – 3:57Watch this moment ↗
Near-dependence of columns can produce a much larger condition number. While the exact rank might be full, the geometric closeness of the columns to a lower-dimensional subspace makes the matrix ill-conditioned, leading to sensitivity in calculations.
Conditions: The columns are linearly independent but nearly dependent.; The matrix has full exact rank.
3:24 – 3:57Watch this moment ↗