grandes-ecoles 2018 Q32

grandes-ecoles · France · centrale-maths1__pc Invariant lines and eigenvalues and vectors Compute eigenvalues of a given matrix

Using the results of Q30 and Q31, deduce that there exists $j \in \llbracket 1, q \rrbracket$ such that $\lambda = 2\cos\frac{j\pi}{q+1}$.

Using the results of Q30 and Q31, deduce that there exists $j \in \llbracket 1, q \rrbracket$ such that $\lambda = 2\cos\frac{j\pi}{q+1}$.