Matrix math is a very complex subject but it has a broad range of important applications. One application you have seen is with respect to solving a...

Matrix math is a very complex subject but it has a broad range of important applications. One application you have seen is with respect to solving a system of linear equations. They are also a very beneficial in modeling fields such as cryptology, representing multidimensional objects in physics,

In your initial post...

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.