Consider a 3×3 involutory matrix B0=⎡⎢⎣−4−3−310α4β3⎤� – InterviewSolution

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1.	Consider a 3×3 involutory matrix B0=⎡⎢⎣−4−3−310α4β3⎤⎥⎦ and the matrices Bn=adj(Bn−1), n∈N. Then the value of det(Bαβ0+Bαβ1+Bαβ2+⋯+Bαβ10) is
Answer» Consider a $3 \times 3$ involutory matrix $B_{0} = ⎡ ⎢ ⎣ \begin{matrix} - 4 & - 3 & - 3 1 & 0 & α 4 & β & 3 \end{matrix} ⎤ ⎥ ⎦$ and the matrices $B_{n} = a d j (B_{n - 1}),$ $n \in N .$ Then the value of $det (B_{0}^{α β} + B_{1}^{α β} + B_{2}^{α β} + \dots + B_{10}^{α β})$ is

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