00:00What is the difference between the two and the two of us?
00:04Let's prove it.
00:06First, let's see.
00:07In the first column, there is no doubt.
00:11Here, there is alpha square.
00:12What does it do?
00:14What do you do?
00:15Think about it.
00:16Here, alpha and beta common.
00:20Okay?
00:21Column 3.
00:23Why?
00:24I always try to do this.
00:25This is a column.
00:26This is a column.
00:29This is a column.
00:29Now, if you take common, there is no sign change.
00:33Now, the first row is equal to alpha.
00:37I'm talking about this.
00:39Because here is square and cube.
00:41This is the second row to beta and third row to gamma.
00:45Now, wait a minute.
00:47When you multiply something in the inside,
00:49common is equal.
00:51When we multiply, we divide.
00:53Alpha, beta, gamma, so alpha, beta, gamma divided.
00:56And alpha, beta, gamma divided.
00:59And alpha, beta, gamma divided.
01:01And alpha, beta, gamma divided.
01:01Now, let's see.
01:01When we did the first row, alpha, square.
01:05Alpha, beta, gamma, alpha.
01:07Second row, beta.
01:10Then we divide.
01:10This is our beta square.
01:11Alpha, beta, gamma, beta.
01:14Then we divide.
01:15Gamma, square.
01:15Alpha, beta, gamma.
01:16And gamma.
01:17This is our next row.
01:19Okay?
01:20Now, we divide.
01:21Now, we divide.
01:23Now, we divide.
01:25Now, we divide.
01:36Alpha, beta, gamma.
01:37Now, we divide.
01:39Now, we divide.
01:40Now, we divide.
01:40We divide.
01:42Now, we divide.
01:44Now, we divide.
01:45Now, we divide.
01:45Now, we divide.
01:45Now, we divide.
01:46Now, we divide.
01:46Now, we divide.
01:46Now, we divide.
01:47Now, we divide.
01:47We divide.
01:48Now, we divide.
01:49Now, we divide.
01:49and this is my one-one, this is here
01:52and this is alpha square beta square gamma square here
01:57then we interchange again with column two and column three
02:00this is alpha beta gamma and this is here
02:02the first time it was minus, the second time it was minus
02:06then minus minus is plus
02:09now the kids are playing one
02:12we will multiply the first row with alpha
02:15second row with beta and third row with gamma
02:18and that will be our determinant
02:21which we wanted to do
02:23meaning proof
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