Find det(A)\det(A)det(A) for A=(1000cosθ−sinθ0sinθcosθ)A = \begin{pmatrix} 1 & 0 & 0 \\ 0 & \cos \theta & -\sin \theta \\ 0 & \sin \theta & \cos \theta \end{pmatrix}A=1000cosθsinθ0−sinθcosθ.
111
cos2θ+sin2θ\cos^2 \theta + \sin^2 \thetacos2θ+sin2θ
000
−1-1−1