1
00:00:00,300 --> 00:00:01,080
‫Welcome back.

2
00:00:01,560 --> 00:00:11,400
‫So here are the answers for the rotation's about the Z, Y and X axis, respectively, as you can see,

3
00:00:11,640 --> 00:00:19,130
‫due to the fact that the rotation matrices are also normal matrices, when you need to find their inverses,

4
00:00:19,380 --> 00:00:20,280
‫it's very easy.

5
00:00:20,280 --> 00:00:22,410
‫You just take their transpose.

6
00:00:22,860 --> 00:00:27,840
‫So that's a very good fact to know because it will simplify your life.

7
00:00:28,500 --> 00:00:36,330
‫Now, what we have done, we have derived the three rotation matrices that rotate the body frame with

8
00:00:36,330 --> 00:00:45,370
‫respect to the inertia frame, about one specific axis, either about the Y or X.

9
00:00:45,960 --> 00:00:53,700
‫However, as we saw before, we need to rotate about more than one access to reach a certain altitude.

10
00:00:54,000 --> 00:01:03,030
‫And so in the next video, we will discuss how to merge these different rotations to achieve a desired

11
00:01:03,030 --> 00:01:03,700
‫altitude.

12
00:01:04,140 --> 00:01:05,150
‫Thank you very much.

13
00:01:05,160 --> 00:01:06,900
‫And I see you in the next video.