Constructing an orthogonal basis with a choice of inner product
133711
Orthogonal basis for infinite-dimensional vector spaces
70475
Proving a basis for inner product space V when $||e_j-v_j||< \frac{1}{\sqrt{n}}$.
71316
Two inner products being equal up to a scalar
128985
Show that $\langle x,y\rangle_A = \langle Ax,Ay\rangle$ is an inner product on $\mathbb R^n$
134162
What is a basis for the space of $n\times n$ Hermitian matrices?
113326
Proving orthogonality of vectors in a complex vector space
46435
2-norm of the orthogonal projection
78648
Find an orthonormal basis for the subspace of $\mathbb R^4$
131232
Simplifying the expression of a product of inner products
148595
Find Orthogonal complement
91257
Fourier basis functions
6319
Finding an orthonormal basis for a matrix
44685
Inner product on $C(\mathbb R)$
37794
Proving the two given vectors are orthogonal
26801
Show that orthogonal matrices are diagonalizable
18012
Eigenvectors of real symmetric matrices are orthogonal
14550
Every Hilbert space has an orthonomal basis - using Zorn's Lemma