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https://texercises.com/exercise/alternating-n-linear-function-columns/
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Exercise:
If D:M_ntimes nKlongrightarrow K is an alternating n-linear function of the rows of the matrix then D is also alternating and n-linear function of the columns of the matrix. In particular this holds also for Dtextdet.

Solution:
Proof. forall Ain M_ntimes nK we have DAtextdetA DI Longrightarrow DA^TtextdetA^T DItextdetA DIDA.
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Exercise:
If D:M_ntimes nKlongrightarrow K is an alternating n-linear function of the rows of the matrix then D is also alternating and n-linear function of the columns of the matrix. In particular this holds also for Dtextdet.

Solution:
Proof. forall Ain M_ntimes nK we have DAtextdetA DI Longrightarrow DA^TtextdetA^T DItextdetA DIDA.
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alternating, eth, fs23, lineare algebra, matrices, n-linear, proof
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(3, default)
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ENG (English)
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Proof
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