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.

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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.3: Matrix Algebra

Problem 85E: Determine if the statement is true or false. If the statement is false, then correct it and make it...

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