Determine the orthogonal complement of x in span [p1, p2, p3].
123877
Best approximation of a vector $x=\begin{bmatrix}2&2&0&0\end{bmatrix}^\tau$ by the vectors in $M^\perp$, where $b\in M$ is given
145885
Linear transformation preserving orthogonality
37985
Show that $|x|^2 = |y|^2$ with $A$ orthogonal and $Ax = \cos (θ)x − \sin (θ)y$, $Ay = \sin (θ)x + \cos (θ) y$
124523
Finding an Inverse Function and Composition of Functions?
93165
A projection satisfying $\| Px \| \leq \|x\|$ for all $x$ is an orthogonal projection
103544
Determine a formula for a dual basis.
14429
dimension of a subspace spanned by two subspaces
28330
Finding x in $a^{x} \bmod  b = c$ when values a,b, and c are known?
113326
Proving orthogonality of vectors in a complex vector space
9436
How to define an orthogonal basis in the right way?
20611
Inverse of a factorial
113779
If $P$ is an orthogonal matrix its columns form an orthonormal set.
21459
Orthogonal complement examples
42046
How to tell if a set of vectors spans a space?
25335
Orthogonal matrix over cross product
47342
Figure out if a fourth point resides within an angle created by three other points
95928
Independence and orthogonality