we can solve non-homogeneous equations in matrix form using Cramer's rule. This rule is valid only if we are replacing the columns. Why can't we replace the rows and carry on the same? For eg we can use elementary transformations for obtaining inverses either via rows or via columns.(adsbygoogle = window.adsbygoogle || []).push({});

But we can't find solutions to non homogeneous linear equations by replacing rows. Could someone please explain this? I am in a need

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# Why is Cramer's rule for determinants not 'symmetric'?

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