If $a=(12,5)$ and $b=(6,8)$ give two orthogonal vectors $U_1$ and $U_2$ such that $U_1$ lies in $a$ and $U_1+U_2=b$
69450
If $a=\langle12,5\rangle$ and $b=\langle6,8\rangle$, give orthogonal vectors $u_1$ and $u_2$ that $u_1$ lies on a and $u_1+u_2=b$
51706
If $(k,l) = 1$, show that $(b_2k-b_1l, a_1l-a_2k) = 1$ for $a_1b_2-a_2b_1=1$
102429
There are 2 groups of order 6 (up to isomorphism)
1865
Sub-determinants of an orthogonal matrix
24856
Proving sup(A + B) = sup A + sup B
19946
Let $W$ be a given subspace of $V$ find the orthogonal complement $W^{\perp}$
73697
Let $A, B$ be $n\times n$ with $n\ge 2$ nonsingular matrices with real entries such that $A^{-1} + B^{-1} =(A+B)^{-1}$
10493
Prove any orthogonal 2-by-2 can be written in one of these forms....
95928
Independence and orthogonality
153290
$A^TA=B^TB$. Is $A=QB$ for some orthogonal $Q$?
123710
Find eight elements in $S_6$ that commute with $(12)(34)(56)$
3301
If $AB = I$ then $BA = I$
75066
If the product of two square matrices is invertible, then both matrices are invertible
15626
Relations of a~b iff b = ak^2
14189
If $(I-A)(I+A)^{-1}$ is orthogonal then prove that A is skew symmetric.
115976
$\mathbf{Q}[\sqrt 5+\sqrt[3] 2]=\mathbf{Q}[\sqrt 5,\sqrt[3] 2]$?
71245
$2 \times 2 $ Orthogonal Group