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]]

1 Answer | Add Yours

tiburtius's profile pic

Posted on

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`

 

We’ve answered 330,359 questions. We can answer yours, too.

Ask a question