/sci/ - Science & Math

>>11043926

[math]
\text{For an integer }n\geq 3\text{, let }\theta=2\pi/n\text{. Evaluate the determinant of the }n\times n
\\
\text{matrix }I+A\text{, where }I\text{ is the }n\times n\text{ identity matrix and }A=(a_{jk})\text{ has entries}
\\
a_{jk}=\cos(j\theta+k\theta)\text{ for all }j,k\text{.}
[/math]