Let 𝒖 = \(\begin{bmatrix} 1 \\ 2 \\ 3 \\ 4 \\ 5 \\ \end{bmatrix} \) , and let…

Let 𝒖 =Β [12345]\begin{bmatrix} 1 \\ 2 \\ 3 \\ 4 \\ 5 \\ \end{bmatrix} , and let 𝜎1 , 𝜎2 ,𝜎3 , 𝜎4 , 𝜎5 be the singular values of the matrix

𝑴= 𝒖𝒖𝑻 (where 𝒖𝑻 is the transpose of 𝒖). The value ofΒ βˆ‘i=15Οƒi\sum_{i=1}^{5} \sigma_i is ______.

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