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https://texercises.com/exercise/determinate-and-addition/
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Exercise:
Does the statement textdetA+BtextdetA+textdetB hold?

Solution:
No it does not. If one takes for example the two matrices A pmatrix & & pmatrixquad B pmatrix & & pmatrix it is obvious that the statement cannot be true since textdetAtextdet pmatrix & & pmatrix quad textdetBtextdet pmatrix & & pmatrix but textdetA+Btextdet pmatrix & & pmatrix neq + textdetA+textdetB
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Exercise:
Does the statement textdetA+BtextdetA+textdetB hold?

Solution:
No it does not. If one takes for example the two matrices A pmatrix & & pmatrixquad B pmatrix & & pmatrix it is obvious that the statement cannot be true since textdetAtextdet pmatrix & & pmatrix quad textdetBtextdet pmatrix & & pmatrix but textdetA+Btextdet pmatrix & & pmatrix neq + textdetA+textdetB
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determinant, eth, fs23, lineare algebra, quiz
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