deletions | additions       diff --git a/The_equation_for_the_ellipsoid__.tex b/The_equation_for_the_ellipsoid__.tex  index 7faf060..9ae9dad 100644  --- a/The_equation_for_the_ellipsoid__.tex  +++ b/The_equation_for_the_ellipsoid__.tex 
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\end{bmatrix} \begin{bmatrix}  x_1 \\ x_2 \\ x_3  \end{bmatrix}  $$  or equivalently,   $$y_k = \left( 1 + \frac{t}{e_k^2} \right) x_k, \qquad k=1,2,3.$$  We can formulate this as 
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