How to prove $V*V^T=I$ in SVD?
3301
If $AB = I$ then $BA = I$
35564
Prove that $u\cdot v = \frac{1}{4}||u+v||^2 - \frac{1}{4}||u-v||^2 \forall u,v \in \mathbb{R^n}$
141286
When is $\mathbf{X}^{T}\mathbf{X}+\lambda\mathbf{I}$ invertible?
70640
Recovering eigenvectors from SVD
49296
Prove $|(1+|u|^2)v-(1+|v|^2)u|>|u\bar{v}-\bar{u}v|$
75855
Show that $\det{(A + sxy^*)}$ is linear in $s$
93121
How to prove there exists a linear transformation?
123505
how to prove vector norm equivalence in finite dimensional space($\mathbb{R}^{n}$)?
103839
Proving that $T^{2} = T$ for a linear operator on $W$ implies that $V = \operatorname{Null} T \oplus \operatorname{Range} T$
105293
Proof of the second symmetric derivative
15300
How to show that $(W^\bot)^\bot=W$ (in a finite dimensional vector space)
62065
Prove that $v_1, \dots v_n$ is a basis of V.
15596
Identification of each tangent space $T_pV$ with $V$ itself?
94383
Prove that $A^TD-C^TB=I$
73406
Prove that $E_{\lambda}(T)=E_{\lambda^{-1}}(T^{-1})$ if $T$ is an invertible linear operator on a finite dimensional vector space $V$
3682
If $V = \text{null}(\textsf{T}-\lambda\textsf{I}) \oplus \text{range}(\textsf{T}-\lambda\textsf{I})$, then prove that $\textsf{T}$ is diagonalizable
71064
How to prove that $\langle Av,w\rangle=\langle v,A^Tw\rangle$?