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Any m by n matrix A can be factored into
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The columns of U (m by m) are the EOFs
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The columns of V (n by n) are the PCs.
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The diagonal values of S are the eigenvalues represent
the amplitudes
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of the EOFs, but not the variance explained by the EOF.
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The square of the eigenvalue from the SVD is equal to the eigenvalue
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from the eigen analysis of the covariance matrix.
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