Let \[A=\left[ \begin{matrix} 0 & \alpha \\ 0 & 0 \\ \end{matrix} \right]\] and \[{{(A+I)}^{50}}-50A=\left[ \begin{matrix} a & b \\ c & d \\ \end{matrix} \right],\]find\[abc+abd+bcd+acd\]

Let \[A=\left[ \begin{matrix} 0 & \alpha \\ 0 & 0 \\ \

1.	Let \[A=\left[ \begin{matrix} 0 & \alpha \\ 0 & 0 \\ \end{matrix} \right]\] and \[{{(A+I)}^{50}}-50A=\left[ \begin{matrix} a & b \\ c & d \\ \end{matrix} \right],\]find\[abc+abd+bcd+acd\]
A.	0
B.	-1
C.	1
D.	None of these
Answer» B. -1

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Let \[A=\left[ \begin{matrix} 0 & \alpha \\ 0 & 0 \\ \end{matrix} \right]\] and \[{{(A+I)}^{50}}-50A=\left[ \begin{matrix} a & b \\ c & d \\ \end{matrix} \right],\]find\[abc+abd+bcd+acd\]

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