Matrix 1-Part2
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LearningTranscript
00:00:00you can see that the sign is not changing.
00:00:02So, you can write 2 plus i here.
00:00:04So, this is our conjugate.
00:00:06For those who do not know what conjugate is,
00:00:08please let me know in the comment section.
00:00:18And, everyone can understand that.
00:00:20It is very easy, right?
00:00:22So, this is our concept.
00:00:24We need to change the sign.
00:00:26I will give you a quiz 3.
00:00:30Please answer the quiz 3.
00:00:32Answer it calmly, okay?
00:00:34There are 3 questions.
00:00:36You need to change the sign in 3 places.
00:00:38You need to change the sign in 3 places.
00:00:56Please answer the quiz 3.
00:00:58Please answer the quiz 3.
00:01:00Everyone can answer as they want.
00:01:02There are 3 parts.
00:01:04Please see.
00:01:22You don't need to change the sign in English.
00:01:24But, there are questions in English.
00:01:26For example, in IIT, there are questions in English.
00:01:28There are no questions in Bengali.
00:01:30So, it is better to learn English.
00:01:34Okay, let's end.
00:01:36Here, I have 2 and 2.
00:01:383 minus 2i.
00:01:40Here, 3 plus 2i.
00:01:421 plus 2i and 1 minus 2i.
00:01:44i minus 2 and minus i minus 2.
00:01:46So, I will get d, right?
00:01:48Okay.
00:01:52I will give you a recap.
00:01:54I will give you a recap.
00:01:56I will give you a recap.
00:01:58You will recognize the combination with i.
00:02:00You will recognize the combination with i.
00:02:02If it is minus, it will be plus.
00:02:04If it is plus, it will be minus.
00:02:06There is 1 plus 2i.
00:02:08So, 1 minus 2i.
00:02:10There is 3 minus 2i.
00:02:12So, 3 plus 2i.
00:02:14There is i minus 2.
00:02:16So, look at the leaderboard.
00:02:18Aryan, Nova, Sabiha,
00:02:20Al-Mahmood, Oishi, Onkush,
00:02:22Sadiya, Tanjim, Shaili,
00:02:24Siam. Congratulations.
00:02:26Okay.
00:02:28Now, I will explain the Hermitian matrix.
00:02:30Now, I will explain the Hermitian matrix.
00:02:32There are 3 steps in the Hermitian matrix.
00:02:34There are 3 steps in the Hermitian matrix.
00:02:36First, we have to find the exponential.
00:02:42Now, we have to find the transpose.
00:02:46Now, we have to find the transpose.
00:03:00Now, we have to find the exponential and transpose.
00:03:02Now, we have to find the exponential and transpose.
00:03:04If the two are the same,
00:03:06then it is called the Hermitian matrix.
00:03:08then it is called the Hermitian matrix.
00:03:10If the matrix is A,
00:03:12then the exponential matrix is called A'.
00:03:14If the matrix is A,
00:03:16then the exponential matrix is called A'.
00:03:40If the matrix is A,
00:04:12Okay, now see, I will show you an example, let's say you have an A matrix, this is your
00:04:25a
00:04:50hermitian matrix.
00:04:51Let's say you have an A matrix, this is your A matrix, this is your A matrix, this is
00:04:58your A matrix, this is your A matrix, this is your A matrix, this is your A matrix, this
00:05:05is your A matrix, this is your A matrix, this is your A matrix, this is your A matrix, this
00:05:12is your A matrix, this is your A matrix, this is your A matrix, this is your A matrix, this
00:05:19is your A matrix, this is your A matrix, this is your A matrix, this is your A matrix, this
00:05:26is your A matrix, this is your A matrix, this is your A matrix, this is your A matrix, this
00:05:31is your A matrix, this is your A matrix, this is your A matrix, this is your A matrix, this
00:05:36is your A matrix, this is your A matrix, this is your A matrix, this is your A matrix, this
00:05:43is your A matrix, this is your A matrix, this is your A matrix, this is your A matrix, this
00:06:13is your A matrix, this is your A matrix, this is your A matrix, this is your A matrix.
00:06:43So, this is your A matrix.
00:07:13So, this is your A matrix.
00:07:43So, this is your A matrix.
00:08:13So, this is your A matrix.
00:08:43So, this is your A matrix.
00:09:14So, this is your A matrix.
00:09:21So, this is your A matrix.
00:09:28So, this is your A matrix.
00:09:33So, this is your A matrix.
00:09:38So, this is your A matrix.
00:09:45So, this is your A matrix.
00:09:50So, this is your A matrix.
00:09:55So, this is your A matrix.
00:10:00So, this is your A matrix.
00:10:07So, this is your A matrix.
00:10:15So, this is your A matrix.
00:10:33So, this is your A matrix.
00:10:40So, this is your A matrix.
00:10:47So, this is your A matrix.
00:10:52So, this is your A matrix.
00:10:57So, this is your A matrix.
00:11:02So, this is your A matrix.
00:11:07So, this is your A matrix.
00:11:12So, this is your A matrix.
00:11:17So, this is your A matrix.
00:11:22So, this is your A matrix.
00:11:27So, this is your A matrix.
00:11:32So, this is your A matrix.
00:11:37So, this is your A matrix.
00:11:42So, this is your A matrix.
00:11:47So, this is your A matrix.
00:11:52So, this is your A matrix.
00:11:57So, this is your A matrix.
00:12:02So, this is your A matrix.
00:12:07So, this is your A matrix.
00:12:12So, this is your A matrix.
00:12:17So, this is your A matrix.
00:12:22So, this is your A matrix.
00:12:27So, this is your A matrix.
00:12:32So, this is your A matrix.
00:12:37So, this is your A matrix.
00:12:42So, this is your A matrix.
00:12:47So, this is your A matrix.
00:12:52So, this is your A matrix.
00:12:57So, this is your A matrix.
00:13:02So, this is your A matrix.
00:13:07So, this is your A matrix.
00:13:12So, this is your A matrix.
00:13:17So, this is your A matrix.
00:13:22So, this is your A matrix.
00:13:27So, this is your A matrix.
00:13:32So, this is your A matrix.
00:13:37So, this is your A matrix.
00:13:42So, this is your A matrix.
00:13:47So, this is your A matrix.
00:13:52So, this is your A matrix.
00:13:57So, this is your A matrix.
00:14:02So, this is your A matrix.
00:14:07So, this is your A matrix.
00:14:12So, this is your A matrix.
00:14:17It is a skew.
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