Question: Consider the square system of linear equations Ax = b with k 1 2 1 X1 A = 2 1 k , b = X

Consider the square system of linear equations Ax = b with k 1 2 1 X1 A = 2 1 k , b = X = X2 3 X3 where k is an unspecified real parameter. a) Find all values of k, such that the given system has a unique solution. For which values of k is the matrix A invertible? b) Find all values of k, such that the given system admits infinitely many solutions and give all values of k for which the system is inconsistent

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