- #1
Gianfelici
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Hi, I have a problem with the calculation of the eigenvalue of a matrix. That matrix is an N x N matrix which can be written as:
##M^{ab} = A\delta^{ab} + B \phi^a \phi^b##
where ##\delta^{ab}## is the identity matrix and the ##\phi## is a column vector. The paper I'm studying says that the eigenvalue of this matrix are:
A with molteplicity 1
##A + \phi^2 B## with molteplicity N-1
but I can't understand why! Can anyone help me?
##M^{ab} = A\delta^{ab} + B \phi^a \phi^b##
where ##\delta^{ab}## is the identity matrix and the ##\phi## is a column vector. The paper I'm studying says that the eigenvalue of this matrix are:
A with molteplicity 1
##A + \phi^2 B## with molteplicity N-1
but I can't understand why! Can anyone help me?
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