Matrices: Reduced Row Echelon Form and Higher Order Inverses

How do we find the inverse of a 3x3 matrix? There are actually many ways, but in this video we look at the simplest one that will make the most sense for the first time- the reduced row echelon form. Basically, we start with our initial matrix A and the identity matrix I on the other side, and we REDUCE the rows in A to get it to look like I, but whatever operations we apply on A we must also apply on I. When the matrix A ends up looking like the identity matrix, the matrix I will end up looking like A inverse. You can try it out by multiplying the matrix A and A inverse together and see if you get the identity matrix.
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