Another method involves the use of the determinant in the solution. The most complex method involves matrix inversion and is directly applicable to problems with more than two unknowns. Whatever approach is used, the simple terms of linear algebra may be needed, such as matrix, element, coefficient matrix, augmented matrix, row equivalent, determinant, inverse of a matrix. This topic should not introduce a cookbook approach to solutions without explaining the reasons why such a process works and showing the relationship to solutions by substitution or linear combination. Complex cookbook approaches, especially those using technology for matrix inversion, are at risk of being worse than not including this subtopic at all.
Simple problems involve questions about the definition and process involved.
Moderate difficulty level involves the solution of simple problems by the matrix method selected. The highest difficulty level will involve solutions with equations that must be manipulated prior to the matrix solution and are not in the same form.