I have been trying to find orthogonal matrix of order n where first row will be given as 1/√n, 1/√n, .... n times.
The second row will be a vector such that dot product of it with the row above and below will be zero and so on. Means, in a matrix of order 3, the 3rd row will be the cross product of first 2 rows.
How do I approach such a problem?