00:00Okay write down in Tabular form
00:03Later Tabular form is what happens
00:05This was i.j like a
00:07i.s.a.marad row
00:09j.s.a.marad column
00:10Now the two is i.s.a.marad row
00:14and three is the column
00:16This means that we have all members
00:18two rows
00:21first row
00:22and the second row
00:23and this row is 3 columns
00:27A1 1, A1 2, A1 3, column 3, and a2 1, A2 2, A2 3, and a2 1, A2 2,
00:36A2 3, here 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, and a3 3, but when we
00:42talk about column 4, so here we go, x1 1, x1 2, x1 3, and x1 4,
00:51x2 2, x2 2, x2 3, x2 4, x3 1, x3 2, x3 3, x3 3, x3 4, x3 3,
00:59x3 4, here we go, 4 column B1 1, B1 2, B1 3, B1 4, B2 1, B2 2, B2
01:073, B2 4, B3 1, B3 2, B3 3, B3 4, B4 1, B4 2,
01:19B4 2, B4 3, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4,
01:25B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4,
01:29B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4,
01:32B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4,
01:32B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4, B4 4,
01:32B4 4, B4 4, B4 4, B4 4, B4 4, B4 4
01:432i, 5i, minus 3i, this was 2nd, this was 2nd, this was 2nd, this was 0, minus 6, 2i, this
01:51was 8, 3, minus 4, this was the whole column, this was the row, now this is the first row,
01:58minus 2, this is the first column, 5i, 7i, this is the second column, 2i, minus 5i, this is the
02:03third one,
02:04this here, minus 8, this is the third one, this is the third one, minus 7, minus 10, this is
02:12the second column, this is the second column, which of the following are symmetric and this is the second column,
02:29symmetric
02:31when the matrix of transpose
02:33will come to the matrix
02:35and if the matrix of transpose
02:39multiplied by negative sign
02:41will come to the A
02:41and this will come to the symmetric
02:43then we will take this
02:46transpose
02:47like the first matrix
02:49we will take this transpose
02:510-5-6
02:53first column
02:545-0-7 second row
02:57second column
02:576-7-0
02:59third row is third column
03:01A transpose
03:02so if it is A transpose
03:06then A transpose
03:06then A transpose
03:06then A transpose
03:06now second
03:10second question
03:11second question
03:13now this
03:16is not equal
03:17then this
03:19minus
03:20multiply
03:22now
03:23minus
03:24multiply
03:25this
03:25minus
03:27minus
03:275
03:28minus
03:296
03:29plus
03:305
03:31plus
03:317
03:32minus
03:327
03:33plus
03:346
03:34minus
03:356
03:35minus
03:367
03:377
03:377
03:37now this
03:38is equal to
03:39matrix
03:39so this
03:40means
03:41here
03:42A
03:43which is
03:44the matrix
03:44which is minus A transpose
03:46is minus A transpose
03:47then which is going to happen to be this symmetric
03:49when it is minus
03:50A transpose A
03:52is equal to symmetric
03:53This is 758. Five minus one six. Eight six minus one.
03:59This is transpose.
04:02This is transpose.
04:03This is one, the first column, the second column, the third column.
04:08This is transpose.
04:10Look here.
04:12This looks like A.
04:13This is transpose.
04:14This is the first column.
04:19Then there is a second column.
04:22so this cake won't come
04:24when it doesn't come
04:25then what do we do?
04:26we multiply these elements
04:28plus 1 to minus 1
04:30plus 3 to minus 3
04:32minus 1 to 1
04:33this is what came here
04:36minus a transpose
04:37if this is minus a transpose
04:40what do we do?
04:43this is symmetric
04:46and here
04:47a is equal
04:48then this transpose
04:51row
04:51column
04:52column
04:54column
04:55column
04:59after a transpose
05:00equals to symmetric
05:02after a
05:03transpose
05:03it is not
05:06five minus four minus five is zero one
05:08and this is the third row
05:10and this is the third column
05:12and this is the third column
05:13so if A transpose
05:15A is equal to A or not?
05:18then what do we do?
05:20we have minus
05:20minus
05:22minus
05:22so we will say
05:24this is the skip symmetric
05:26so if A is equal to A transpose
05:29but A minus A transpose
05:32is equal to A
05:34this is the same
Comments