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True or false? 7. If A and B are row equivalent then det(A) = det(B).

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hockeyfan54 | Student | (Level 1) Salutatorian

Posted April 29, 2013 at 1:33 PM via web

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True or false?

7. If A and B are row equivalent then det(A) = det(B).

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pramodpandey | College Teacher | (Level 3) Valedictorian

Posted April 29, 2013 at 1:41 PM (Answer #1)

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False

Reason

Any nonsingular matrix is row equivalent to the

identity matrix - but it's certainly not true that any nonsingular matrix

has determinant equal to one.

det(A)=ad-cb

let B is matrics obtained from A by operation    

 !=det(A

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