T is a linearly independent subset of vector space V

[heytheree]

question in attachment. please help!

 

[jgens]

As in your previous thread, what do you need help with?

 

[heytheree]

i just am confused on how to prove this

 

[jgens]

So for the first part, you have that $T \cup \{v\}$ is linearly dependent. Can you write out what that means?

 

[heytheree]

i have no idea what that means? I am really struggling in this class. i barely understand the basic concepts.

 

[jgens]

The best I can do at the moment is point you to some sources that explain these definitions. If someone else has more time than I do, maybe they can work you through the definitions. But for now, try reading the following articles:

1. http://en.wikipedia.org/wiki/Vector_space
2. http://en.wikipedia.org/wiki/Linear_independence
3. http://en.wikipedia.org/wiki/Linear_span

 

[HallsofIvy]

Then I suggest you review them! Having other people tell you how to do your homework- especially as regards basic concepts- won't help you pass the course.

To start with, why don't you write out the exact definition of "Linear Dependent" and "Linearly Independent" so we can help you understand what they mean. That was what jgens was suggesting you do.

 

[Robert1986]

i have no idea what that means? I am really struggling in this class. i barely understand the basic concepts.

Do you know what linear independence means?

 

[HallsofIvy]

In mathematics, perhaps more than other studies, definitions are "working definitions". That is, in solving problem and proving statements, you use the precise words of the definitions. Learn them by heart!