1 00:00:00,540 --> 00:00:01,350 ‫Welcome back. 2 00:00:02,130 --> 00:00:10,160 ‫So now, since you have seen how this vector looks like and this vector looks like and also this vector 3 00:00:10,180 --> 00:00:20,940 ‫looks like, now you are in a position to transform this G prime cost function without the constant 4 00:00:20,940 --> 00:00:21,460 ‫terms. 5 00:00:21,490 --> 00:00:24,090 ‫Remember, JP was without the costs and terms. 6 00:00:24,680 --> 00:00:33,180 ‫You are in a position to take this cost function and get rid of this summation sign, because remember, 7 00:00:33,360 --> 00:00:40,800 ‫the summation sign just means that you have a lot of terms here from ickle zero up until N minus one, 8 00:00:40,800 --> 00:00:42,540 ‫which in our case is four. 9 00:00:42,540 --> 00:00:44,130 ‫Minus one equals three. 10 00:00:45,160 --> 00:00:52,270 ‫But just like in the previous course, you could put all these terms in a vector matrix form, which 11 00:00:52,270 --> 00:00:53,300 ‫looks like this. 12 00:00:54,220 --> 00:01:04,450 ‫So if you collect all the terms that have this vector and then this vector transposed, then you can 13 00:01:04,600 --> 00:01:08,140 ‫rewrite all those terms in one term like this. 14 00:01:08,680 --> 00:01:15,130 ‫And then if you collect all the terms from this cost function, then have this vector here and then 15 00:01:15,190 --> 00:01:22,630 ‫this vector here, like, for example, this and then this for all the eyes. 16 00:01:23,550 --> 00:01:30,360 ‫Then you can put all those items together and rewrite them as one term like this, and remember, since 17 00:01:30,360 --> 00:01:34,690 ‫you had a minus sign here, that's why you have a minus sign here as well. 18 00:01:35,580 --> 00:01:42,540 ‫And by the way, you have this suerte matrix here in the last element because you also have it here 19 00:01:42,990 --> 00:01:47,800 ‫and then the S is here because you also have it here. 20 00:01:48,540 --> 00:01:56,910 ‫So in this case, you would have this vector and this vector that would belong to this term. 21 00:01:57,780 --> 00:02:06,000 ‫And then in this case, your vectors would be here and then here, and then they would belong to this 22 00:02:06,000 --> 00:02:06,810 ‫term here. 23 00:02:07,730 --> 00:02:13,970 ‫And then if you look at this term here, well, first of all, instead of Delta, you have you here 24 00:02:13,970 --> 00:02:15,170 ‫and here as well. 25 00:02:15,170 --> 00:02:16,240 ‫You have a you here. 26 00:02:17,030 --> 00:02:24,710 ‫And if you collect all the terms together for all the eyes, then you will have this term here. 27 00:02:25,690 --> 00:02:32,440 ‫You see, you have here Delta, you transposed, so that would be for this one here and here, you have 28 00:02:32,440 --> 00:02:36,160 ‫just Delta you and that would be for this one here. 29 00:02:37,490 --> 00:02:45,800 ‫And so as a result, you get your global weight matrixes, this global weight matrix, we called it 30 00:02:46,250 --> 00:02:48,290 ‫Q double bar. 31 00:02:49,410 --> 00:02:56,970 ‫This global weight matrix, we called it T. Double Bar and this global weight matrix, we called it 32 00:02:56,970 --> 00:02:58,340 ‫our double bar. 33 00:02:59,250 --> 00:03:06,170 ‫So all we have done, we have rewritten the prime cost function in this form. 34 00:03:06,780 --> 00:03:13,140 ‫We went from the format with the summation sign to the one without it, and that's it. 35 00:03:13,890 --> 00:03:20,370 ‫So in this format, if you write them all open, you will get the form with the summation sign. 36 00:03:21,120 --> 00:03:30,300 ‫And then we have defined three huge weight matrices Q double bar, T double bar and then our double 37 00:03:30,300 --> 00:03:33,810 ‫bar that look like this respectively. 38 00:03:34,440 --> 00:03:36,060 ‫And now you have an exercise. 39 00:03:36,390 --> 00:03:43,590 ‫Your exercise now is to tell me what the dimensions of Q double bar, T double bar and our double bar 40 00:03:43,590 --> 00:03:44,070 ‫are. 41 00:03:44,790 --> 00:03:47,090 ‫What are their matrix dimensions. 42 00:03:48,070 --> 00:03:51,690 ‫Try it out yourself and then I'll see you in the next video. 43 00:03:51,870 --> 00:03:52,800 ‫Thank you very much.