Matrix Algebra, Basics of
- Augmented matrix
An augmented matrix of a system of linear equations written in matrix form CX = B is a matrix of the form [C|B], where C is the coefficient matrix of the system and B is the constant column of the system
- Consistent and inconsistent system of linear equations
A system of linear equations is said to be consistent if it has a solution, and it is called inconsistent if it has no solutions
- Cramer rule
Cramer’s rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution. It expresses the solution in terms of the determinants of the (square) coefficient matrix and of...