00:00Question 9, which of falling is an important or involuntary matrix?
00:05Look, this matrix A is, we need to multiply this matrix by this way.
00:13This is the first row, the first column, minus y, minus 5, minus 8, 3, 0, 1.
00:19Then the first row is the second column, minus 5, minus 8, minus 8, 5, 0, 2.
00:26Then the second row is the third column.
00:28Then the second row is the second column, the second column, the third row, the third column.
00:33The first row is the first column, the second column, the third row, the third column.
00:38When we will do all the multiplication, then this is the matrix.
00:43This matrix is the unit, matrix, identity matrix,
00:48which is diagonal, one, one, and the other members are 0.
00:52If there is a matrix of a square unit, then it is involuntary matrix.
00:57This matrix is so involuntary.
00:59Now let's look at the other column.
01:02This one also multiply.
01:04This one is the first row, the first column, the first row, the second column, the third row, the third
01:09column.
01:10Multiplication already we've learned in the previous years.
01:132 to 2, minus 2 to minus 1, minus 4 to 1.
01:17This one is the first row.
01:17Playlist in the playlist you've got full chapter.
01:20Then everything you've got.
01:21So, if you look at the attention of the previous row,
01:24then this row is the first row, the first column, the first row, the second column, the first row, the
01:28third row, the second row, the third row, the second row.
01:30One, the third row.
01:35So, we speak to the space lately, the second row, the second row, the second row, the fifth row.
01:41So,好了, and say여 paragras including the notation of the second row.
01:51address. So, kids, this is solved. The first one is involuntary. The second is it is important.
01:57Now, we are saying which of falling is this key formation and harmition.
02:01Now, what do we say? First, we start with conjugate. Now, this is conjugate. This is imaginary,
02:06just change the sign, not the rail. 3, 1, 1, 1, minus 2 iota, plus 2 iota, 4,
02:13plus 7 iota, minus 7 iota, 1, plus 2 iota, minus 2 iota, minus 4,
02:19minus 2 iota, 2 iota, 4, minus 7 iota, 4, plus 7 iota, 2 iota,
02:26minus 2 iota, 5, 5, 5. Now, this transpose is what we say. This is the first row,
02:32this is the first column. The second row is the second column. The third row is the third column.
02:37The third row is the third column. Now, let's see if this is the actual matrix equal.
02:43So, this is the Hermitian. Here, look at question 2.
02:511, minus 3 iota, minus 2 iota, minus 3 iota,
02:55iota, menos 3 iota, iota,
02:56lesser since minus iota, 3 iota, greater destqing, minus
03:017 iota, minus 5 iota, minus 5 iota, 0,
03:058, minus 5 iota, higher stretch,bilir。」
03:09Now we use this transpose.
03:11This is the first row.
03:121 minus 3 IOTA minus IOTA
03:14This column is the second row.
03:152 minus 3 IOTA minus 7 IOTA
03:195 IOTA and this column is the second column.
03:213 minus IOTA minus IOTA
03:23this is the third column.
03:25Why is this equal here or not?
03:27It's not equal here, so this is not equal to harm it.
03:30This is the only solution.
03:32How will it happen?
03:33It's all minus to multiply.
03:36It's all the members.
03:37Now it's about minus 3 , minus 3, minus 7 , minus 7 5, minus but the
03:57the median ... and then we have minus the value is the formula?
04:02do the formation of this mission. Why do we叫 us?
04:09because now that means we're here
04:13first, that means that宇宙
04:17transpose matrix in this instance
04:20and now that means
04:24the conjugate transmissions
04:25to this one
04:29so this is why we will call this formation
04:34look at this matrix
04:35then we will take this conjugate
04:38iota sign change the sign
04:40only iota
04:41other than iota
04:45one minus iota
04:46one minus iota
04:47this minus iota
04:49first row
04:51third row
04:53now
04:56can you see the original
04:57equal
04:58not
04:58now
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06:38Now one thing is left.
06:42We have left.
06:45We have left.
06:45We have left.
06:46We have left.
06:47We have left.
06:47We have left.
06:52So this is unknown.
06:54We have left.
06:56So this is our complete solution.
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