Mathematical Methods in the Physical Sciences · Problem 3.1

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} -2 & 3 & 4 \\ 3 & 4 & -2 \\ 5 & 6 & -3 \end{vmatrix}