If ⎡⎢⎣1sinθ1−sinθ1sinθ−1−sinθ1⎤⎥⎦ ; then for all – InterviewSolution

InterviewSolution

1.	If ⎡⎢⎣1sinθ1−sinθ1sinθ−1−sinθ1⎤⎥⎦ ; then for all θ∈(3π4,5π4),det(A) lies in the interval :
Answer» If $⎡ ⎢ ⎣ \begin{matrix} 1 & sin θ & 1 - sin θ & 1 & sin θ - 1 & - sin θ & 1 \end{matrix} ⎤ ⎥ ⎦$ ; then for all $θ \in (\frac{3 π}{4}, \frac{5 π}{4}), det (A)$ lies in the interval :

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