All vectors are in .
Check the true statements below:
A.
Not every linearly independent set in is an orthogonal set.
B.
If is a linear combination of nonzero vectors from an orthogonal set, then the weights in the linear combination can be computed without row operations on a matrix.
C.
A matrix with orthonormal columns is an orthogonal matrix.
D.
If the vectors in an orthogonal set of nonzero vectors are normalized, then some of the new vectors may not be orthogonal.
E.
If is a line through and if is the orthogonal projection of onto , then gives the distance from to .