>> So using the calculator we can code all of these groups of 3. Now here are the correspondences for the other groups of 3. We saw the first two groups of 3 before but this group of 3 corresponds with these coded numbers and this group of 3 with these coded numbers and so on. And we see how to do that with a graphing calculator. Well then we take all these coded numbers and just write them in a string. So we have the string of 43, 6, 9 from over here, from before then -32, -45, -13 from over here, then -42, -47, -14 from up here and then the, the rest of them just follow along. So this is the message that is sent, alright. And we don't care if it's intercepted because it's encode. Alright, then once these numbers are received on the other end that is by the receiver wants to get this information and decode it, here's what they have to do. They have to divide these into groups of 3, you see and then send it through the undue filter. You know, now notice the, and the rest of them groups of 3. Alright, so now the undue filter, the decoding filter is just the inverse of the matrix A. So we would take these groups of 3, these coded numbers in groups of 3 and multiply times A inverse, you see and then we'll get back the numbers that we started with in this whole process. Let's, let's...