True or False: Inconsistent systems of equations can be solved using inverse matrices.

True or False: If the product of the inverse matrix and the constants vector results in a column matrix of zeros, the system has infinitely many solutions.

True or False: If the determinant of the coefficient matrix is non-zero, the system of equations is guaranteed to have a unique solution.

True or False: The inverse of a matrix is essential for solving systems of equations when using the matrix method.

True or False: If the determinant of the coefficient matrix in a system of equations is zero, the system has a unique solution.

True or False: If the inverse of the coefficient matrix does not exist, the system of equations has no solution.

True or False: A system of equations must have more equations than unknowns to be solvable using the matrix method.

True or False: The matrix method for solving systems of equations is restricted to 2x2 matrices only.

True or False: The inverse of a matrix is unique for every matrix.

True or False: The augmented matrix of a system of equations includes both the coefficients and constants of the equations.