Determinants
Exercise 4.11
Prove that the determinant is independent of \(\theta\): \[\begin{vmatrix} x & \sin\theta & \cos\theta \\ -\sin\theta & -x & 1 \\ \cos\theta & 1 & x \end{vmatrix}\]
Prove that the determinant is independent of \(\theta\): \[\begin{vmatrix} x & \sin\theta & \cos\theta \\ -\sin\theta & -x & 1 \\ \cos\theta & 1 & x \end{vmatrix}\]