Please clarify what you want to "solve". There are several operations you can do with matrices, such as add them, multiply them, transpose them, etc.
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It isn't clear what you want to solve for. If you want to find the matrix, there is not a unique solution - there are infinitely many matrices with the same determinant.
Gauss Elimination
by elimination,substitution or through the matrix method.
You can solve the system of equations with three variables using the substitute method, or using matrix operations.