{Let X be a finite dimensional vector space over F, and a linear transformation. If the rank of is equal to the rank of f, prove that
Since .
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Well, I think a direct method may perhaps be a better choice. Suppose that for some non-zero [/tex]f(x)[/tex]. You can see then that now try using this and the ideas behind why to conclude that .
Well, I think a direct method may perhaps be a better choice. Suppose that for some non-zero [/tex]f(x)[/tex]. You can see then that now try using this and the ideas behind why to conclude that .