What is T in Convariance Matrix?

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SUMMARY

The "T" in the context of the covariance matrix refers to the transpose operation. This notation is crucial for generating the covariance matrix, where each cell is defined by the expression E[(X_i - μ_i)(X_j - μ_j)], with i and j representing the row and column indices. The transpose ensures that the multiplication aligns the indices correctly, facilitating the computation of covariance between different variables.

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My question is what is the the meaning of the T(as a power) in the following line?

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https://www.physicsforums.com/showthread.php?p=4463256#post4463256
 
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That just means the transpose. That line is a concise way of generating the matrix you see above it. Each cell is ##E[(X_i - μ_i)(X_j - μ_j)]## where i,j are the row,column indices of each matrix cell. The multiplication with the transpose matches i and j in just the right way.
 

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