Question: Consider the matrix k-k 0 A = 1 -2 1 0 1 k 1 where k is a real parameter. 1. Discuss the rank

Consider the matrix k-k 0 A = 1 -2 1 0 1 k 1 where k is a real parameter. 1. Discuss the rank of the matrix according to the parameter k. 2. Find a basis of the space Lhom, where Lhom is the space of the solutions of the homogeneous system Ar=0, when k = 1.

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