Optimal Table may change in LPP

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If we solve a LPP with let's say 2 constraints with all slack starting variables with non negative right hand side. We get the optimal table. Now suppose we change the constraint coefficient of a basic variable and compute the optima using post optimality analysis using a combination of dual simplex and simplex method. My question is will the optimal table be different to what we would have got had we started the question all over again by the new constrain? Actually, my point of optima and solution matches, but there is a entry in my final optimal table that does not match with the optimal table of problem if I had solved it from scratch. Can somebody explain?