Question: x 1 + k x 2 = 1 k x 1 + 4 x 2 = 2 Determine all values of k for which the

x1+kx2=1

kx1+4x2=2

  1. Determine all values of k for which the system is inconsistent.
  2. Determine all values of k for which the system has infinitely many solutions. Moreover, determine the solution set.
  3. Determine all values of k for which the system has a unique solution. Determine the solution set.

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