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True or false? 6. If the rref of A is I_n then det(A) is 1.

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mrbest55 | Student | Salutatorian

Posted April 29, 2013 at 1:32 PM via web

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True or false?

6. If the rref of A is I_n then det(A) is 1.

Tagged with linear algebra, math

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pramodpandey | College Teacher | Valedictorian

Posted April 29, 2013 at 2:28 PM (Answer #1)

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False

because

`det(AxxA^(-1))=det(I_n)`

`det(A)xxdet(A^(-1))=1`

`det(A)!=0`

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