Question: Matrix: please show all your works Suppose that the augmented matrix of a linear system row-reduces to 1 2 0 4 2 0 0 1

Matrix:

please show all your works

Suppose that the augmented matrix of a linear system row-reduces to 1 2 0 4 2 0 0 1 3 6 .ls this system consistent? If so, how manysolutions does the 0000 0 system have? What are the basic/free variables? Find all solutions, writing the solution set as a set of linear combinations of vectors in R4

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