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Calculating the number of Principal Components

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Hi,

Suppose there are 50 plant samples (rows) and 200 characteristics indices (columns). What will be the maximum number of Principal Components with positive eigenvalues we can get from such a dataset?

Based on my understanding of PCA, since 50 rows with 50 unit vectors and eigenvalues provide unique solutions, the maximum number of principal components should be 50.

Any corrections/suggestions/resources for this one?

Regards,
Gajanan

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