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Hey guys! I need help this this question:

 

Given that |abcdefghi|=24, find |adgbehcfi|. I tried constructing a matrix with a determinant of 24 but couldn't find one. Does anyone have ideas?

 May 30, 2020
 #1
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Look very carefully at the terms on the right-hand side of equations (1) and (2) below.  What do you notice?

 

 May 30, 2020
 #3
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Oh! That's a really cool. So does that mean if you rotate a matrix, its determinant stays the same?

somebody  May 30, 2020

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