Determine by inspection (i.e., without performing any calculations) whether a linear system with the given augmented matrix has a unique solution, infinitely many solutions, or no solution. 13²2 2-4 0 1 1 4 -2 1-1 8 -4 2 0 O unique solution O no solution infinitely many solutions Justify your answer. O The matrix can be rewritten in row echelon form with one free variable. O The matrix can be rewritten so that you have a row 0 0 0 0 | a with a = 0. This system is a homogeneous system with four variables and only three equations, so the rank of the matrix is at most 3 and thus there is at least one free variable. O The matrix can be rewritten in row echelon form with no free variables. The matrix can be rewritten in row echelon form with two free variables

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