Home /
Expert Answers /
Advanced Math /
1-point-the-vectors-vec-v-1-left-begin-array-c-1-1-0-end-array-right-quad-pa982
(Solved): (1 point) The vectors \[ \vec{v}_{1}=\left[\begin{array}{c} 1 \\ -1 \\ 0 \end{array}\right], \quad ...
![(1 point) The vectors
\[
\vec{v}_{1}=\left[\begin{array}{c}
1 \\
-1 \\
0
\end{array}\right], \quad \vec{v}_{2}=\left[\begin{a](https://media.cheggcdn.com/media/57e/57e83041-da34-4c74-aafb-dbde44244a6b/phpduPzO2)
(1 point) The vectors \[ \vec{v}_{1}=\left[\begin{array}{c} 1 \\ -1 \\ 0 \end{array}\right], \quad \vec{v}_{2}=\left[\begin{array}{c} -7 \\ 2 \\ -2 \end{array}\right], \quad \vec{v}_{3}=\left[\begin{array}{c} -18 \\ 3 \\ k \end{array}\right] \] form a basis for \( R^{3} \) if and only if \( k \neq \)
Expert Answer
Here given vectors are , V?1,V?2,V?3 . These vectors will form a basis of R 3 if the vectors are linearly Independent . Now the vectors V?1,V?2,V?3 wi