Why is orthonormal basis better than linearly independent basis and orthogonal basis?
141456
Why is it important that a basis be orthonormal?
87318
Why are symmetric positive definite (SPD) matrices so important?
81825
Orthogonality of sine and cosine integrals.
146099
Why is this true: The only orthogonal projection that is also unitary from $\Bbb C^n$ to $\Bbb C^n$ is the identity
42606
Orthogonality for Binomial Coefficients
137180
Orthonormal basis with specific norm
144151
An orthonormal set cannot be a basis in an infinite dimension vector space?
76498
Does every linearly independent set of n vectors in $R^n$ forms a basis in $R^n$?
61718
Can a basis for a vector space be made up of matrices instead of vectors?
123408
Why a subspace of a vector space is useful
117175
Proof that the 2-norm of orthogonal transformation of a matrix is invariant
115385
Computing matrices of linear transformation under different basis
70415
Comparison between the $\ell_1$ and $\ell_2$ norms
88153
Finding all inner products on $\mathbb{R}^2$ for which a given linear map is orthogonal
78648
Find an orthonormal basis for the subspace of $\mathbb R^4$
9286
Questions on PCA: when are PCs independent? why is PCA sensitive to scaling? why are PCs constrained to be orthogonal?
14320
How to prove that eigenvectors from different eigenvalues are linearly independent