I have a matrix $A$ of size $n \times n$ defined as
$$a_{ij} = \frac{1}{i+j-1}$$
Where $a_{ij}$ is the $i^{th}$ row, $j^{th}$ column element of the matrix. So, $1 \leq i \leq n$ and $1 \leq j \leq n$.
Is this matrix, Positive Definite or Positive Semi-Definite? How to prove it?
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Nagabhushan S N
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4https://en.wikipedia.org/wiki/Hilbert_matrix – Will Jagy Dec 04 '18 at 04:12
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1see answers of this – achille hui Dec 04 '18 at 04:21
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1Say that $i,j \geq 1$ – Jean Marie Dec 04 '18 at 23:59