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I know that for matrices A, B and C is correct to write: (AB)C=A(BC)
Also [tex](BA)^{-1}=A^{-1}B^{-1}[/tex]
Why [tex] (A^{T}A)^{-1}A^{T}=A^{-1}(A^{T})^{-1}A^{T}=A^{-1}[/tex] is not correct?
Also [tex](BA)^{-1}=A^{-1}B^{-1}[/tex]
Why [tex] (A^{T}A)^{-1}A^{T}=A^{-1}(A^{T})^{-1}A^{T}=A^{-1}[/tex] is not correct?