78792 If \(A=\left[\begin{array}{ccc}2 & 0 & 0 \\ 0 & -2 & 0 \\ 0 & 0 & -1\end{array}\right]\), then \(\mathbf{A}^{4} \mathbf{A}^{-1}=\)

78793 If \(\mathbf{A}=\left[\begin{array}{ll}+\cos \theta & -\sin \theta \\ -\sin \theta & -\cos \theta\end{array}\right]\), then \(\mathbf{A}^{-1}=\)

78794 If \(A=\left[\begin{array}{ll}2 & 3 \\ 1 & 2\end{array}\right], B=\left[\begin{array}{ll}1 & 0 \\ 3 & 1\end{array}\right]\), then \((A B)^{-1}=\)

78796 If the elements of matrix \(A\) are the reciprocals
of elements of matrix \(\left[\begin{array}{ccc}1 & \omega & \omega^{2} \\ \omega & \omega^{2} & 1 \\ \omega^{2} & 1 & \omega\end{array}\right]\), where
\(\omega\) is complex cube root of unity, then

78797 If \(A=\left[\begin{array}{ll}4 & 5 \\ 2 & 1\end{array}\right]\) and \(A^{2}-5 A-6 I=0\), then \(A^{-1}=\)

78792 If \(A=\left[\begin{array}{ccc}2 & 0 & 0 \\ 0 & -2 & 0 \\ 0 & 0 & -1\end{array}\right]\), then \(\mathbf{A}^{4} \mathbf{A}^{-1}=\)

78793 If \(\mathbf{A}=\left[\begin{array}{ll}+\cos \theta & -\sin \theta \\ -\sin \theta & -\cos \theta\end{array}\right]\), then \(\mathbf{A}^{-1}=\)

78794 If \(A=\left[\begin{array}{ll}2 & 3 \\ 1 & 2\end{array}\right], B=\left[\begin{array}{ll}1 & 0 \\ 3 & 1\end{array}\right]\), then \((A B)^{-1}=\)

78796 If the elements of matrix \(A\) are the reciprocals
of elements of matrix \(\left[\begin{array}{ccc}1 & \omega & \omega^{2} \\ \omega & \omega^{2} & 1 \\ \omega^{2} & 1 & \omega\end{array}\right]\), where
\(\omega\) is complex cube root of unity, then

78797 If \(A=\left[\begin{array}{ll}4 & 5 \\ 2 & 1\end{array}\right]\) and \(A^{2}-5 A-6 I=0\), then \(A^{-1}=\)

78792 If \(A=\left[\begin{array}{ccc}2 & 0 & 0 \\ 0 & -2 & 0 \\ 0 & 0 & -1\end{array}\right]\), then \(\mathbf{A}^{4} \mathbf{A}^{-1}=\)

78793 If \(\mathbf{A}=\left[\begin{array}{ll}+\cos \theta & -\sin \theta \\ -\sin \theta & -\cos \theta\end{array}\right]\), then \(\mathbf{A}^{-1}=\)

78794 If \(A=\left[\begin{array}{ll}2 & 3 \\ 1 & 2\end{array}\right], B=\left[\begin{array}{ll}1 & 0 \\ 3 & 1\end{array}\right]\), then \((A B)^{-1}=\)

78796 If the elements of matrix \(A\) are the reciprocals
of elements of matrix \(\left[\begin{array}{ccc}1 & \omega & \omega^{2} \\ \omega & \omega^{2} & 1 \\ \omega^{2} & 1 & \omega\end{array}\right]\), where
\(\omega\) is complex cube root of unity, then

78797 If \(A=\left[\begin{array}{ll}4 & 5 \\ 2 & 1\end{array}\right]\) and \(A^{2}-5 A-6 I=0\), then \(A^{-1}=\)

78792 If \(A=\left[\begin{array}{ccc}2 & 0 & 0 \\ 0 & -2 & 0 \\ 0 & 0 & -1\end{array}\right]\), then \(\mathbf{A}^{4} \mathbf{A}^{-1}=\)

78793 If \(\mathbf{A}=\left[\begin{array}{ll}+\cos \theta & -\sin \theta \\ -\sin \theta & -\cos \theta\end{array}\right]\), then \(\mathbf{A}^{-1}=\)

78794 If \(A=\left[\begin{array}{ll}2 & 3 \\ 1 & 2\end{array}\right], B=\left[\begin{array}{ll}1 & 0 \\ 3 & 1\end{array}\right]\), then \((A B)^{-1}=\)

78796 If the elements of matrix \(A\) are the reciprocals
of elements of matrix \(\left[\begin{array}{ccc}1 & \omega & \omega^{2} \\ \omega & \omega^{2} & 1 \\ \omega^{2} & 1 & \omega\end{array}\right]\), where
\(\omega\) is complex cube root of unity, then

78797 If \(A=\left[\begin{array}{ll}4 & 5 \\ 2 & 1\end{array}\right]\) and \(A^{2}-5 A-6 I=0\), then \(A^{-1}=\)

78792 If \(A=\left[\begin{array}{ccc}2 & 0 & 0 \\ 0 & -2 & 0 \\ 0 & 0 & -1\end{array}\right]\), then \(\mathbf{A}^{4} \mathbf{A}^{-1}=\)

78793 If \(\mathbf{A}=\left[\begin{array}{ll}+\cos \theta & -\sin \theta \\ -\sin \theta & -\cos \theta\end{array}\right]\), then \(\mathbf{A}^{-1}=\)

78794 If \(A=\left[\begin{array}{ll}2 & 3 \\ 1 & 2\end{array}\right], B=\left[\begin{array}{ll}1 & 0 \\ 3 & 1\end{array}\right]\), then \((A B)^{-1}=\)

78796 If the elements of matrix \(A\) are the reciprocals
of elements of matrix \(\left[\begin{array}{ccc}1 & \omega & \omega^{2} \\ \omega & \omega^{2} & 1 \\ \omega^{2} & 1 & \omega\end{array}\right]\), where
\(\omega\) is complex cube root of unity, then

78797 If \(A=\left[\begin{array}{ll}4 & 5 \\ 2 & 1\end{array}\right]\) and \(A^{2}-5 A-6 I=0\), then \(A^{-1}=\)