How Do You Calculate The Inverse Of Matrix?
High school and college students encounter matrix algebra in math, economics and the sciences. While elementary matrix operations are simple, there may be many; working through them carefully, one step at a time, can prevent mistakes. You can find the inverse of a square matrix by the Gauss-Jordan Elimination method. A shortcut for 2 x 2 matrices is also available. Learn or re-familiarize yourself best by doing a few simple ones and work your way up to larger sizes. Write down your matrix. Append an identity matrix of the same order to the right of the one you just wrote. Combine the 2. Now you have a new matrix that you can solve. Reduce the 2nd row. In this example, multiply each element in Row 1 by -2 and add the result to the corresponding elements in Row 2. Notice that this zeroes out the first element in Row 2. The objective of reducing rows here is to end up with an identity matrix where your original matrix was. Now reduce the 1st row. In this example, again multiply each eleme
