anonymous
  • anonymous
if det(A) = -1 Then what does det (2A) equal?
Linear Algebra
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Hero
  • Hero
Create a matrix where its determinant is -1. Then take that same matrix and multiply it by two, then find its determinant.
anonymous
  • anonymous
can it be a 2 x 2 matrix ?
anonymous
  • anonymous
Well, 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 ;)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
that should be -2
anonymous
  • anonymous
NO, 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?? )

Looking for something else?

Not the answer you are looking for? Search for more explanations.