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Reference: sysSolve

sysSolve(M, v) returns the unique solution to the matrix equation MX = v, where M is a matrix and v is a vector (here considered a n×1 column matrix), if such a solution exists, i.e. if det(M) ≠ 0.

sysSolve(M) returns the unique solution to the equation system represented by the total matrix M, i.e. the augment of a coefficient matrix and a right-hand side column vector.

sysSolve(M, v) = sysSolve(A) if A = augment(M, v).