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# Linear Algebra Question

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Hi I was wondering if we have 2 for example A,B matrix 2x2 with integers and DetA≠0 , DetB≠0  the 2x2 Matrix $$C=A\times B$$ will have DetC≠0?

There is a theorem of this and a proof?

Mar 8, 2020

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As follows:

Mar 9, 2020
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Determinant of the multiplication is always the multiplication of the determinants for any 2 square matrices

Mar 9, 2020
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Also welcome back dimitris

Guest Mar 9, 2020