00:00which are following are the symmetric and it is symmetric?
00:05Look, this is the matrix.
00:08What are we going to do with the transpose?
00:12The first row is the first column, the second row is the second column,
00:16and the third row is the third column.
00:19The matrix is the same as the transpose.
00:23The matrix is symmetric.
00:27What will be symmetric?
00:29But if this doesn't happen, like in this case,
00:32then what are we going to do?
00:36We will multiply all these terms.
00:40Like, minus 5 to 5,
00:44minus 6 to 6,
00:46minus 5 to 5, minus 7 to 7,
00:50minus 6 to 7,
00:51minus 6 to 7.
00:51Now this is done.
00:52Because this is minus a transpose,
01:23and as it's true,
01:25this is not equal to a, so we will change all of the sign changes, what do we do, minus
01:31multiply, here we have minus 1 to 1, minus 1 to 1, 5 to minus 5, minus 3 to 3,
01:40so now
01:41this is equal to a, so because a minus a is equal to a, this is the symmetric, now
01:49we have matrix a, this is the transpose, 1 to 5, 2 to 5 minus 7, 5 minus 7, if
01:58a transpose
01:58is equal to a, then the matrix is symmetric, then we have matrix a, this is the transpose
02:05we have, this is the first row, the second row, the second row, the third row, the third
02:10row, the third column, but we have no benefit from this, because this is equal to a, then
02:17the third row, yeah, switch to the transpose, then we have minus 1 te multiply, this
02:222 see 5 and 4 see minus 4, now the totaliyor of 13 smells is equal to 4 now the
02:29part
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