Error in Problem #1

>Dear Class,
>
>I've made an unfortunately error in problem #1 of the take home exam.
>I have defined the matrix A in such a way that it is not symmetric,
>and therefore not possibly positive definite.  Please make the following
>change to the exam:
>
>1.  Let A be the n x n matrix with entries Aij where
>
>                -|i-j|
>        Aij = 4       .
>
>    Use the Gershgorin criterion to show that A is positive definite.
>
>I shall be posting a corrected version of this question on the website
>as well.  I'm sorry for the difficulties this error may have caused.
>
>All the best, Eric