00:01
Now, here let the given set 2 ,3 and minus 4 ,4 let this be e1 ,e2.
00:13
Now, here the given inner product is x1 ,y1 ,x2 ,y2 is equal to 3x1 multiplied by y1 plus 2x2 multiplied by y2.
00:32
Now, let x1 and x2 be 2 ,3 and this be 2 ,3.
00:41
So, if we evaluate this value then if we put in this over here then this will be equal to 30.
00:47
Now, clearly our orthonormal set is vi ,vi is equal to 1 and vi ,vj is equal to 0 for i and j is not equal to 0.
01:08
So, here this is not equal to 1, not orthogonal, not set is not orthogonal.
01:17
Now, to make the set orthogonal we have what we will do here v1 is equal to e1 divided by e1 ,e1.
01:28
If we find its value it will be 1 divided by 15 ,1 divided by 10.
01:34
Similarly, v2 dash will be e2 minus v1 ,e2 multiplied by v1...