Used when coefficient matrix is invertible. It means the system has a unique
set of solutions.
Method 2: Cramer’s Rule
Let , where is the coefficient matrix and .
Where is the matrix obtained by replacing th column in matrix by
.
Method 3: Reducing to Echelon Form
Start with . Convert the to echelon form using elementary
row transformations. The solution can be found now. If a contradiction is
encountered while solving the equation, that means the system has no solutions.