You want to find the inverse of a matrix which is just a set of numbers.
You write just on the righWht of the matrix the Identity matrix then you do a set of operations (E limintation matrixes) on the left original matrix A until you get the Identity matrix the original I on the right will become the Inverse matrix, why? Because the set of operations you did are a set of E which together comes to be one matrix (if you multiply them one by another) and if you multiply them on the right matrix (the identify) you actually get what the multiplication of E is.
You write just on the righWht of the matrix the Identity matrix then you do a set of operations (E limintation matrixes) on the left original matrix A until you get the Identity matrix the original I on the right will become the Inverse matrix, why? Because the set of operations you did are a set of E which together comes to be one matrix (if you multiply them one by another) and if you multiply them on the right matrix (the identify) you actually get what the multiplication of E is.
Comments