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Exercises on linear systems

  1. Solve the system: img.
  2. Solve the system: img, where t is a real number.
  3. Reduce the matrix to reduced row-echelon form: img.
  4. Solve the homogeneous system: img.
  5. For which values of t the following homogeneous system has a non trivial solution? img.
  6. Find a condition on the real numbers a, b, c, d under which the following matrix img is row-equivalent to the matrix img.
  7. Solve the system img, where t and s are real numbers.
  8. Solve the system img, where t is a real number.
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first published on march 15 2002 - last updated on september 01 2003