How to find a dual basis given a basis?
103544
Determine a formula for a dual basis.
68552
Find the representing matrix with the respect to the standard basis
127882
Proofs involving orthonormal basis
112353
Prove that all 2x2 orthogonal matrices can be expressed as Rotation or Reflection
61539
proof for a basis in $L^2$
96530
Matrix representation of linear map in this basis
76046
Finding the roots of the unknown function
35714
Adjoint pairs, triplets and quadruplets
66866
Algebraic dual of $\mathbb{R}^{\mathbb{N}}$
126586
Change of basis matrix for $B_2\{(1,-1,0),(1,0,-1)\}$ to $B_1\{(0,1,-1),(1,1,-2)\}$
30358
Finding Jordan basis of a matrix ($3\times3$ example)
76559
Change of basis for a rank 3 Cartesian tensor
83116
Uncountability of basis of $\mathbb R^{\mathbb N}$
7712
How to prove the both identity (matrix)
5506
Perturbation property of Orthonormal basis for Hilbert space
51313
Extension of linearly independent set to a basis in an infinite dimensional vector space
43570
Finding two non-zero matrices where $AX = BA$