Schwarzenchild vs Minkowski: 4-Space & EigenValues

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The Schwarzenchild Metric can be the Minkowski Tensor with the correct terms in 4-Space. If not Schwarzenchild Metric must have EigenValues are all real and the Matrix is symmetrical.
 
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I'm not really sure what it is you're saying but if you're asserting that there exists a coordinate system in which the Schwarzschild metric becomes the Minkowski metric everywhere on the open subset the chart is defined on then that's obviously false; Schwarzschild space-time is not flat. What you can do is put the Schwarzschild metric in Minkowski form at a given point; this is a simple consequence of the spectral theorem.
 
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