Do non-square matrices have a determinant. If not, why?
You may also be interested in knowing that the NxN Determinant of the Coefficients of a Linear System of N equations in N unknowns can indicate whether this System has a SINGLE UNIQUE solution. If this Determinant is NON-ZERO, then the System has a SINGLE UNIQUE solution (although in some cases this solution may be all 0's). If the Determinant is ZERO (0), then the System either has a) NO solutions, or b) an INFINITE number of solutions. (In other words, for this latter "zero case", the System will never have one & only one single unique solution.) (Coefficients assumed Real.)Atomos said:Do non-square matrices have a determinant. If not, why?