Explain how you see the relationship between the three elementary row operations performed on an augmented matrix and the operations that lead to equivalent systems of equations. What advantages do you see in converting a system of equations to an equivalent augmented matrix? Research a particular application of matrices explaining how a matrix is used. Based on what you have selected think about the three operations of addition, scalar multiplication, and matrix multiplication. Can you describe what the results actually mean? Note that in some applications some of these operations may not have meaning. If that is the case, explain why.
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