00:00Question 9, which of falling is an important or involuntary mattress?
00:05Look at this, this is a mattress.
00:08We need to multiply this mattress from this way.
00:12This is the first row, the first column.
00:15From minus y, minus 5, minus 8, 3, 0, 1.
00:19Then the first row is the second column.
00:22From 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.
00:34The first row is the first column, the second column, the third row, the third column.
00:38When we take all the multiplication of the multiplication, then this is coming.
00:43This mattress is called Unit, Mattress, Identity Mattress,
00:48which is diagonal in one-one, and the other members are 0.
00:52If there is a mattress of a square unit, then it is involuntary mattress.
00:57This is the mattress of a involuntary mattress.
00:59Now let's see the other ones.
01:02This one also multiply.
01:04This is the first row, the first column, the first row, the second column, the second row, the third column.
01:10Multiplication already we have learned from the previous years.
01:132 to 2, minus 2 to minus 1, minus 1 to minus 1.
01:24The second row is the third column, the third row, the third row, the third row.
01:35So this is the same thing as this.
01:37Now, A is equal to A squared.
01:41This is A squared.
01:43If A squared A is equal to A,
01:46then the mattress is a tempotent mattress.
01:49What is it? A tempotent mattress.
01:52So this is solved.
01:54The first one is involuntary.
01:56The second one is a tempotent mattress.
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