bwpbruce
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Question:
If [math]\textbf{v}_1,...,\textbf{v}_4[/math] are in [math]\mathbb{R}^4[/math] and [math]\{\textbf{v}_1, \textbf{v}_2, \textbf{v}_3\}[/math] is linearly dependent, is [math]\{\textbf{v}_1, \textbf{v}_2, \textbf{v}_3, \textbf{v}_4\}[/math] also linearly dependent?
My Solution:
http://s29.postimg.org/4wvwjlkqd/Linearly_Independent_Sets.png
If [math]\textbf{v}_1,...,\textbf{v}_4[/math] are in [math]\mathbb{R}^4[/math] and [math]\{\textbf{v}_1, \textbf{v}_2, \textbf{v}_3\}[/math] is linearly dependent, is [math]\{\textbf{v}_1, \textbf{v}_2, \textbf{v}_3, \textbf{v}_4\}[/math] also linearly dependent?
My Solution:
http://s29.postimg.org/4wvwjlkqd/Linearly_Independent_Sets.png