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We write <math>T</math> as a block diagonal matrix, plus a [[Rank (linear algebra)|rank-1]] correction:
:<math>T = \begin{bmatrix} \hat{T}_{1} & 0 \\ 0 & \hat{T}_{2}\end{bmatrix} + \begin{bmatrix} & & & & & \\ & & & & & \\ & & \beta & \beta & & \\ & & \beta & \beta & & \\ & & & & & \\ & & & & & \end{bmatrix}</math>
[[Category:Numerical analysis]][[Category:Linear algebra]][[Category:Algorithms]]
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