Prove that $\alpha(t)$ lies on a sphere given that $\alpha(t)-a$ is orthogonal to T(t)
66298
Prove that $\alpha(t)$ lies on a sphere.
108837
How to show that $\vdash (\forall x \beta \to \alpha) \leftrightarrow \exists x (\beta \to \alpha)$?
76694
Proving that $UT=TU$ iff $U=g(T)$ for some polynomial $g$
63465
Orthogonal Projection of $ z $ onto the Affine set $ \left\{ x \mid A x = b \right\} $
45998
The range of $T^*$ is the orthogonal complement of $\ker(T)$
133756
Geometric interpretation of $\det(A^T) = \det(A)$
56818
Prove that if $A$ is positive, then $\exists\;\alpha>0$ such that $\langle Ax, x \rangle\geq \alpha|x|^2$ for $x\in\Bbb{R}^n$
104258
Proof Verification: $\dim\mathrm{Im} T+\dim\ker T=\dim V$
33196
show that A(T) is a group under operation of composition of functions
37794
Proving the two given vectors are orthogonal
78307
Under what conditions is $AA^T$ invertible?
30770
Prove that $C\left(\bigcup_{\alpha\in I} A_\alpha\right)=\bigcap_{\alpha\in I}C\left(A_\alpha\right)$
141015
Proof of orthogonal matrix
65062
Prove $\text{rank}(A) \geq \frac{(\text{tr}(A))^2}{\text{tr}(A^2)}$ when $A$ is Hermitian
73406
Prove that $E_{\lambda}(T)=E_{\lambda^{-1}}(T^{-1})$ if $T$ is an invertible linear operator on a finite dimensional vector space $V$
103839
Proving that $T^{2} = T$ for a linear operator on $W$ implies that $V = \operatorname{Null} T \oplus \operatorname{Range} T$
84522
A better proof for $\det(P) = \pm1$ if $P$ is an orthogonal matrix