If my goal is to determine whether vectors dent or independent, I will solve the system (Do not solve the system.) If that the vectors are linearly independent. 1 1 3 0 and 5 17 " are depen- -" I conclude

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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If my goal is to determine whether vectors 

\[ 
\begin{bmatrix} 
1 \\ 
-1 \\ 
1 
\end{bmatrix}, 
\begin{bmatrix} 
1 \\ 
0 \\ 
1 
\end{bmatrix}, 
\text{and} 
\begin{bmatrix} 
3 \\ 
5 \\ 
17 
\end{bmatrix} 
\]

are dependent or independent, I will solve the system 

\{ system of equations }

(Do not solve the system.)

If _____________________________________________________________, I conclude that the vectors are linearly independent.
Transcribed Image Text:If my goal is to determine whether vectors \[ \begin{bmatrix} 1 \\ -1 \\ 1 \end{bmatrix}, \begin{bmatrix} 1 \\ 0 \\ 1 \end{bmatrix}, \text{and} \begin{bmatrix} 3 \\ 5 \\ 17 \end{bmatrix} \] are dependent or independent, I will solve the system \{ system of equations } (Do not solve the system.) If _____________________________________________________________, I conclude that the vectors are linearly independent.
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