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velossahonda
 3 years ago
if det(A) = 1 Then what does det (2A) equal?
velossahonda
 3 years ago
if det(A) = 1 Then what does det (2A) equal?

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Hero
 3 years ago
Best ResponseYou've already chosen the best response.1Create a matrix where its determinant is 1. Then take that same matrix and multiply it by two, then find its determinant.

velossahonda
 3 years ago
Best ResponseYou've already chosen the best response.0can it be a 2 x 2 matrix ?

MuH4hA
 3 years ago
Best ResponseYou've already chosen the best response.0Well, the problem here is, that your result will depend on the dimensions of the matrix. If you can't figure out the general rule, try a 2x2 and a 3x3. Maybe don't use "2" as your scalar but just write it out for any scalar c.. it'll become obvious, what det(cA) has to be ;)

MuH4hA
 3 years ago
Best ResponseYou've already chosen the best response.0NO, it is not 2. As I stated before, it does depend on the size of the matrix. It is 4 for a 2x2 and 8 for a 3x3.. The general rule is: \[\det(cA) = c^n \det(A)\]for a nxn Matrix. I normally just don't state the solution. However, if people give advice that's just plain wrong, I fear the asker might be mislead. (velossahonda  I would elaborate, why it's like that if you are still interested?? )
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