6.3 Orthogonal and orthonormal vectors. Definition. We say that 2 vectors are orthogonal if they are perpendicular to each other.
R × has orthonormal columns if its Gram matrix is the identity matrix: a square real matrix with orthonormal columns is called orthogonal.
In addition to being orthogonal each vector has unit length. Suppose T = {u1
https://empslocal.ex.ac.uk/people/staff/reverson/uploads/Site/procrustes.pdf
slang: we say 'u1
24-Feb-2015 Note that if S is orthonormal then o ? S
Orthonormal bases. • Gram-Schmidt orthogonalization. • Orthogonal complements. *****. Orthogonality. • From your lower-division vector calculus you know
slang: we say 'u1;:::;uk are orthonormal vectors' but orthonormality (like I (you'd think such matrices would be called orthonormal not orthogonal).
02-Dec-2017 Let (ek) be an orthonormal sequence in an inner product space X. Let x ? X. The quantities. ?ekx? are called the Fourier coefficients of x ...
EL3370 Orthogonal Expansions - 5. BESSEL INEQUALITY. Theorem (Bessel Inequality). If !! {e n. } is an orthonormal sequence in an inner product space V