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True or false? 1. If det(A)=0 then A=0.

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masterpiece11 | Student | (Level 1) Salutatorian

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

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True or false?

1. If det(A)=0 then A=0.

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oldnick | (Level 1) Valedictorian

Posted April 30, 2013 at 10:38 PM (Answer #1)

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False: I.e    

`[[1,4,7],[3,2,11],[8,5,29]]`  is non zero matrix, but tis determinant is zero for the tirdh column si sum of 3 times first + second.

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pramodpandey | College Teacher | (Level 3) Valedictorian

Posted May 1, 2013 at 4:36 AM (Answer #2)

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False.

Because

`A=[[2,3],[4,6]]`

`det(A)=0 `

`but`

`A!=0`

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