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Show how the sample covariance matrix, S, defined prior to Example 3, may be written in a form similar to (1). [Hint: Use partitioned matrix multiplication to write S as 1/(N − 1) times the sum of N matrices of size p × p. For 1 ≤ k ≤ N, write Xk − M in place of
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EBK LINEAR ALGEBRA AND ITS APPLICATIONS
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