Vieta's formula can be used to show that the sum of these quantities always equals the trace. One consequence of the spectral theorem is that a change of coordinates can be applied so that these entities all lie along the diagonal. All of these numbers equal one for a rotati
Vieta's formula can be used to show that the sum of these quantities always equals the trace. One consequence of the spectral theorem is that a change of coordinates can be applied so that these entities all lie along the diagonal. All of these numbers equal one for a rotation, since vector lengths remain unchanged. These are the numbers lambda so that A minus lambda times the identity matrix is singular, which makes these entities the roots of the characteristic polynomial. For 10 points, identify these numbers associated with a given square matrix, which are the coefficient of proportionality when a matrix is applied to an eigenvector
Vieta's formula can be used to show that the sum of these quantities always equals the trace.
eigenvalues [prompt on "lambda" until mentioned]