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Rodrigo de Azevedo
Rodrigo de Azevedo
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Suppose $A$ is a positive definite matrix such that $$I \preceq A \preceq 1.01I.$$ Is$$ I \preceq A \preceq 1.01I.$$ Is it possible that $$\sum_{i=1}^n A_{1i}$$ can $\sum\limits_{i=1}^n A_{1i}$ can be arbitrarily large?

Thanks, Jack

Suppose $A$ is a positive definite matrix such that $$I \preceq A \preceq 1.01I.$$ Is it possible that $$\sum_{i=1}^n A_{1i}$$ can be arbitrarily large?

Thanks, Jack

Suppose $A$ is a positive definite matrix such that$$ I \preceq A \preceq 1.01I.$$ Is it possible that $\sum\limits_{i=1}^n A_{1i}$ can be arbitrarily large?

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Jack Lee
Jack Lee
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Possible pathological properties of positive definite matrix

Suppose $A$ is a positive definite matrix such that $$I \preceq A \preceq 1.01I.$$ Is it possible that $$\sum_{i=1}^n A_{1i}$$ can be arbitrarily large?

Thanks, Jack