Matrixsysteme
Matrixsysteme (systems of linear equations) are collections of linear equations that share a common set of unknowns. A typical system with n variables x1, x2, ..., xn consists of m equations: a11 x1 + a12 x2 + ... + a1n xn = b1, ..., am1 x1 + am2 x2 + ... + amn xn = bm.
These systems can be written in matrix form as A x = b, where A is an m-by-n
Solvability is determined by the rank conditions. A system is consistent if rank([A|b]) = rank(A). It has
Common methods for solving Matrixsysteme include Gaussian elimination (row reduction to reduced row echelon form), LU
Applications span engineering, physics, computer graphics, economics, and statistics. The concept provides a foundational framework for