00:01
So in this problem we have the given matrix which is a is equal to 0 to 0 minus 3 0 0 and 0 0 4.
00:19
There are 3 rows right so this is our given matrix okay now let v1 is equal to 0 0 0 to the 2 -0 and v2 is equal to minus 3 0 -0 and v3 we have is 0 -0 -4 okay this is what we have these are the rows of the metrics which is already given in the question we have already okay now let's come to the topic this is our row 1 this is our row 2 this is our row 3 which we are just put it as v1 v2 and v3 so for u1 is equal to v1 and our w1 is equal to what u1 divided by module u1 which will word 0 0 0 2 0 and divided by 0 square plus 0 square plus 2 square plus 0 square that will be 1 by 2 and 0 0 to 0 right so it will become 2 to 2 will be cancelled so it will become 0 0 1 and 0 now for the u 2 we have v2 minus v2 into w1 and into w1 so let's put the values here minus 3 0 0 0 0 0 0 0 minus 1 v 2 we have is minus 3 0 plus 0 into 0 plus 0 into 2 plus 0 into 0 plus 0 into 0 and we have 1 by 2 0 0 2 and 0 right so what it will become is minus 3 00 0 0 0 minus 1 by 2 into 0 0 0 0 0 right so finally value we will have is minus 3 0 0 .0.
02:43
And similarly, for the w2, we have u2 divided by module, u2.
02:50
So what it will be? we will repeat our steps again for the w2.
02:56
So it will be 9 plus 0 plus 0 plus 0.
03:00
So it will become 1 by 3 minus 3 ,000, and 3 to 3 will be cancelled.
03:10
So again, it will be cancelled.
03:11
Become minus 1 0 0 okay now let's come and do for the u 3 so it will be v3 minus v3 minus w1 into w1 minus v3 into w2 into w2 okay it will be 0 0 0 0 4 minus 0 plus 0 into 2 and plus 0 0 2 and plus 4 into 0 again 1 0 4 this we are just putting the values of v3 w2 into w2 also so it will become 0 into minus 1 plus 0 into 0 plus 0 plus 0 into 0 again minus 1 0 0 0 and 0 so from here what we will get is 4 minus 0 1 this is, so from after solving this all, we will get our 4.
04:29
And here what we will do is for w3, we will do w3, module u3.
04:36
So now just again put the values here...