A First Course in Linear Algebra · Problem C29

Eigenvalues — Robert Beezer

Mathematics — Linear Algebra · computing-determinants-5x5

Problem

Doing the computations by hand, find the determinant of the matrix

A

A = \begin{bmatrix} 2 & 3 & 0 & 2 & 1 \\ 0 & 1 & 1 & 1 & 2 \\ 0 & 0 & 1 & 2 & 3 \\ 0 & 1 & 2 & 1 & 0 \\ 0 & 0 & 0 & 1 & 2 \end{bmatrix}