To generate a sequence of successive approximations that does not converge to the solution

To solve the linear system in a single direct step

To generate a sequence of successive approximations that converge to the solution

None

To compute the inverse of the coefficient matrix first

The matrix must be diagonal with all non-zero entries

The method may diverge away from the true solution

The method converges to the solution

The solution is exact after the first iteration

None

The determinant of the coefficient submatrix

Its leading variable

A random variable that changes each iteration

Any variable in the equation chosen randomly

None

The matrix is small and dense

High precision is required immediately

The matrix is large and sparse

None

The matrix is symmetric only

The determinant of the matrix remains unchanged

The determinant of the matrix is exactly zero

None

The determinant of the matrix is doubled

The determinant of the matrix is equal to one

An identity matrix for U and a general lower triangular L

An upper triangular matrix L and a lower triangular matrix U

A lower diagonal matrix U with ones on its diagonal and an upper triangular matrix L

None

A lower triangular matrix L with ones on its diagonal and an upper triangular matrix U

The two vectors must be oriented at a right angle of ninety degrees to each other

The tail of the second vector is placed at the head of the first vector to find the sum

The magnitudes of the two vectors being added must be exactly equal to each other

Both vectors must have their tails fixed at the origin of the coordinate system

None

They have zero magnitude

They are dependent

They are parallel

They have different magnitudes

None

The system has no possible solution at all

All the coefficients in the system are equal to zero

The system has an infinite number of possible solutions

The system has at least one solution

None

Must be the zero vector for the method to work

Must be an eigenvector of the coefficient matrix

Must be exactly equal to the true solution

Can be chosen arbitrarily

None