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edited Jun 19, 2011 at 14:20

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Is there a closed form expression for this specialthe inverse of the matrix with elements $A_{i,j}=x_i$ for $i=j$ and $A_{i,j}=1$ for $i\neq j$?

matrices linear-algebra

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asked Jun 18, 2011 at 19:42

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Is there a closed form expression for this special matrix?

Hello All

Consider a matrix with elements:

$A_{i,j}=x_i$ for $i=j$
$A_{i,j}=1$ for $i\neq j$

Is there a closed form expression for the elements of $A^{-1}$?

Will be glad to know of any reference.

Thanks

HC

matrices