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Question 4.4.1: Expand equation (4.87) for p = 1 to calculate the following ......

Expand equation (4.87) for p = 1 to calculate the following determinant:

\operatorname{det} A=\sum\limits_{s=1}^n a_{p s}\left|A_{p s}\right|          (4.87)

\operatorname{det} A=\operatorname{det}\left[\begin{array}{rrr} 1 & 3 & -2 \\ 0 & 1 & 1 \\ 2 & 5 & 3 \end{array}\right]

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= 1[(1)(3) – (1)(5)] – 3[(0)(3) – (2)(1)] – 2[(0)(5) – (1)(2)] = 8

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