2. Given is the matrix а а 2а A =1 a -() 1 1 where a is a parameter. First determine the determinant it (A) as a polynomial in a. Solve the system of equations a+ Ax = for each choice of parameter a: Investigate when the solution exists and is unique, when it does not exist any solution, as well as all solutions in cases where the solution is not unique. Relate the different special cases (where the solution does not exist or is not unique) to it (A). To decrease down on own bills, the use of Mathematica is recommended.

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