Solve the problem.
-For what values of h are the given vectors linearly dependent? 66) $$\left[ \begin{array} { r }
- 1 \
4 \
6
\end{array} \right] , \left[ \begin{array} { r }
5 \
2 \
- 3
\end{array} \right] , \left[ \begin{array} { r }
- 1 \
1 \
1
\end{array} \right] , \left[ \begin{array} { r }
2 \
- 2 \
h
\end{array} \right]$$
A) Vectors are linearly dependent for $h = - 2$
B) Vectors are linearly independent for all $\mathrm { h }$
C) Vectors are linearly dependent for $h \neq - 2$
D) Vectors are linearly dependent for all $\mathrm { h }$

Question

Solve the problem.
-For what values of h are the given vectors linearly dependent? 66) $$\left[ \begin{array} { r } 
- 1 \
4 \
6
\end{array} \right] , \left[ \begin{array} { r } 
5 \
2 \
- 3
\end{array} \right] , \left[ \begin{array} { r } 
- 1 \
1 \
1
\end{array} \right] , \left[ \begin{array} { r } 
2 \
- 2 \
h
\end{array} \right]$$
A) Vectors are linearly dependent for $h = - 2$
B) Vectors are linearly independent for all $\mathrm { h }$
C) Vectors are linearly dependent for $h \neq - 2$
D) Vectors are linearly dependent for all $\mathrm { h }$

Quizplus · Accepted Answer

The Answer of Solve the problem.
-For what values of h are the given vectors linearly dependent? 66) $$\left[ \begin{array} { r } 
- 1 \
4 \
6
\end{array} \right] , \left[ \begin{array} { r } 
5 \
2 \
- 3
\end{array} \right] , \left[ \begin{array} { r } 
- 1 \
1 \
1
\end{array} \right] , \left[ \begin{array} { r } 
2 \
- 2 \
h
\end{array} \right]$$
A) Vectors are linearly dependent for $h = - 2$
B) Vectors are linearly independent for all $\mathrm { h }$
C) Vectors are linearly dependent for $h \neq - 2$
D) Vectors are linearly dependent for all $\mathrm { h }$

Solve the Problem A) Vectors Are Linearly Dependent For h=−2h = - 2h=−2

Solve the Problem A) Vectors Are Linearly Dependent For $h = - 2$