Recent content by blockdummy

Hmm... I have almost the same question yet when I got the correct answer, the last statement was false. (i.e. False: The equation of motion for both oscillators reads: x = Acos(ωt+δ) ) This is because although the motion of each oscillator separately is described by that equation, together they...

Hmm... (A2 + A)x = (1)x Is it correct to assume that both sides have the same eigenvector? If so the x's cancel and... (A2 + A) = 1 which is a contradiction. This doesn't seem correct since the only way this wouldn't be a contradiction would be if λ=0.

Homework Statement Prove true or false. If A^2+A=0 then λ=1 may not be an eigenvalue. Homework Equations To find the eigenvalues of A I find the solutions to det(λ-A). The definition of an eigenvalue from my understanding, AX = λX. A(A+I) = 0 The Attempt at a Solution...