1.2.6 Determinant calculation

Problem: Calculate the determinant of the

n

-th order

Δ = | \begin{array}{cccccc} 0 & a_{2} & a_{3} & \dots & a_{n - 1} & a_{n} \\ b_{1} & 0 & a_{3} & \dots & a_{n - 1} & a_{n} \\ b_{1} & b_{2} & 0 & \dots & a_{n - 1} & a_{n} \\ \dots & \dots & \dots & \dots & \dots & \dots \\ b_{1} & b_{2} & b_{3} & \dots & 0 & a_{n} \\ b_{1} & b_{2} & \dots & \dots & b_{n - 1} & 0 \end{array} | .