# Given det [[a,b,c],[d,e,f],[g,h,i]] = -1, find the following determinants b) det [[a,b,c],[8a,8b,8c],[g,h,i]]

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### 1 Answer

If rows of a matrix are linearly dependent then its determinant is 0.

Rows of this matrix are obviously dependent because

`8cdot[a,b,c]=[8a,8b,8c]`

Hence

`det[[a,b,c],[8a,8b,8c],[g,h,i]]=0`