Engineering↗
Matrix Inverses and Solving Linear Systems
The matrix that undoes multiplication, the 2 times 2 formula, the Gauss-Jordan method for larger cases, and solving Ax = b directly.
Every page in the KEVOS library tagged Determinant. 4 pages.
The matrix that undoes multiplication, the 2 times 2 formula, the Gauss-Jordan method for larger cases, and solving Ax = b directly.
Computing exact determinants by fraction-free elimination, modular methods with Hadamard bounds, and how to choose between them.
The regulator as the covolume of the unit lattice, its computation, and the precision and verification it demands.
Exact Gaussian elimination, fraction-free elimination, determinant and characteristic polynomial algorithms, and kernel and image computation over fields and over ℤ.