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Were asked to solve the system below, and to parameterize the solution set using vectors or column matrices. Because were asked to parameterize the solution set, its safe to assume the system has an infinite number of solutions. In order to express the solution set using vectors or column matrices, the solution will be expressed in the form shown here below where we have column matrices or vectors. But also notice now on the far right, we have a factor of z, which means well be using the variable z to parameterize the solution. We often use a variable t to parameterize a solution set, but in this case, we will be using the variable z. So the first step is to solve the system. Lets go ahead and use augmented matrix, and then use technology to write the augmented matrix in reduced row echelon form. Notice how the equations on the correct form or standard form to write the beginning augmented matrix. Because we have a system of three equations with three unknowns, we will have a thr