Mathematica, 27 3035 bytes

Any matrix has a pseudoinverse, and the pseudoinverse is equal to the inverse when the matrix is invertible.

Thread[Det@#*PseudoInverse@#]&Thread[Det[#+x]Inverse[#+x]]/.x->0&

Mathematica, 27 30 bytes

Any matrix has a pseudoinverse, and the pseudoinverse is equal to the inverse when the matrix is invertible.

Thread[Det@#*PseudoInverse@#]&

Thread[Det[#+x]Inverse[#+x]]/.x->0&

added 183 characters in body

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edited Dec 16, 2015 at 16:27

Any matrix has a pseudoinverse, and the pseudoinverse is equal to the inverse when the matrix is invertible.

Det[#+x]Inverse[#+x]/.x->0&Thread[Det@#*PseudoInverse@#]&

Det[#+x]Inverse[#+x]/.x->0&

Any matrix has a pseudoinverse, and the pseudoinverse is equal to the inverse when the matrix is invertible.

Thread[Det@#*PseudoInverse@#]&

Source Link

created Dec 16, 2015 at 15:51

Det[#+x]Inverse[#+x]/.x->0&