Question #316820

For what values of h the vectors


⟶              ⟶                 ⟶  

u1 = [1, -3, -2]             u2 = [-1, 9, -6]              u3 = [5, -7, h]   

     

are linearly independent? (Show all working)


Note: The three vectors are supposed to be in a 3x1 matrix(3 rows and 1 column)



1
Expert's answer
2022-03-24T19:15:06-0400

11539726h=(9h42)+(3h14)+5(18+18)==6h+1236h+1230h20.5\left| \begin{matrix} 1& -1& 5\\ -3& 9& -7\\ -2& -6& h\\\end{matrix} \right|=\left( 9h-42 \right) +\left( -3h-14 \right) +5\left( 18+18 \right) =\\=6h+123\\6h+123\ne 0\Rightarrow h\ne -20.5


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS