Can an orthogonal matrix have a determinent that is not 1 nor -1?
84522
A better proof for $\det(P) = \pm1$ if $P$ is an orthogonal matrix
154628
What should we understand from the definition of orthogonality in inner product spaces other than $\mathbb R^n$?
101329
Avoiding numerical cancellation question for $\sin x -\sin y$ for $x \approx y$
25335
Orthogonal matrix over cross product
114208
Does non-symmetric positive definite matrix have positive eigenvalues?
103665
Product of matrices of different order is not invertible
88820
Three linked question on non-negative definite matrices.
108589
The inverse of the matrix $\{1/(i+j-1)\}$
59477
Density of orthogonal matrices with rational coefficients
54628
Properties of non-zero symmetric bilinear form
65888
A counterexample to theorem about orthogonal projection
101926
If $Q$ is a proper orthogonal transformation matrix, deduce that $\det(1-Q)=0$.
158852
If $\{v_1, v_2, v_3\}$ is an orthonormal basis of $\mathbb{R}^3$ and $v = a_1v_1 + a_2v_2 + a_3v_3$, can we have $|a_1| > 3$?
126337
Eigenvalues in orthogonal matrices
64896
Dealing with non-integral powers on negative numbers
97952
Square root of 1 is (not) -1
43570
Finding two non-zero matrices where $AX = BA$