Mathematical Methods in the Physical Sciences · Problem 3.5

LINEAR EQUATIONS; VECTORS, MATRICES, AND DETERMINANTS — Mary Boas

Mathematics — Methods · determinants-evaluation

Problem

Evaluate the determinant by reducing it as shown in Example 4 and using the Laplace development:

\begin{vmatrix} 7 & 0 & 1 & -3 & 5 \\ 2 & -1 & 0 & 1 & 4 \\ 7 & -3 & 2 & -1 & 4 \\ 8 & 6 & -2 & -7 & 4 \\ 1 & 3 & -5 & 7 & 5 \end{vmatrix}