Re: Every Subspace of R^N has an Orthogonal Basis?

Pinky wrote:



If u know one basis element in F, then by using Gram Schmidth method of
orthogonal vector will help you to find all orthogonal basis.

I already have an orthogonal coordinate system. Say I have two vectors
whose coordinate representation is x={x_1,y_2} and y={y_1,y_2}. Addition
of vectors is defined by x+y = {x_1+y_1,x_2+y_2}. Multiplication of a
vector by a scalar is defined by a x = {a x_1,a x_2}. Since the
coordinates range from -infinity to infinity, these operations are closed.
--
Nil conscire sibi
.