Let A=(aij) be an n×n matrix such that aij=cos(i-j)θ and θ=2π/n. Determine the rank and eigenvalues of A.
KAIST Math Problem of the Week
Weekly Math Challenges in KAIST
Let A=(aij) be an n×n matrix such that aij=cos(i-j)θ and θ=2π/n. Determine the rank and eigenvalues of A.
closed form으로 구해야 하나요?
하실 수 있는데까지 하시면 됩니다.