centrally symmetric and centered about the origin regarding ellipsoids

98 Views Asked by At

I need your help in understanding why the following statement is true:

"Since $\mathit{A}^\prime$ is centrally symmetric, $MVEE(\mathit{A}^\prime)$ is centered at the origin", which is quoted from On Khachiyan’s Algorithm for the Computation of Minimum Volume Enclosing Ellipsoids

Is there a proof for such statement, since i have not found any reference in the paper regarding this issue??

Please advise and thanks in advance.