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Linear systems of n equations in n unknowns can be represented in matrix-vector form with an n x n matrix A. If the vector b is not equal to 0, the system is inhomogeneous with at least one non-zero term. If the determinant of A is non-zero, the system has a unique solution found by x = A^-1 b; otherwise the system is dependent or inconsistent. Homogeneous systems where b is equal to 0 have the general solution of either containing free parameters or only the trivial solution of x = 0, depending on if the d

Author
Roy Vesey
Language
EN

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