5
votes
2answers
97 views

Orthornomal matrices [duplicate]

Is there a more direct reason for the following: If the columns of $n\times n$ square matrix are orthonormal, then its rows are also orthonormal. The standard proof involves showing that left ...
2
votes
1answer
90 views

equation of the hyperplane orthogonal to the general line v

Given a line v in $R^n$ from point a to point b, what is the general equation of the hyperplane that passes through a and is orthogonalto v? Ideally I am looking for the general solution in arbitrary ...