# T is a linearly independent subset of vector space V

1. Apr 1, 2012

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2. Apr 1, 2012

3. Apr 1, 2012

### heytheree

i just am confused on how to prove this

4. Apr 1, 2012

### jgens

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

5. Apr 1, 2012

### heytheree

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

6. Apr 1, 2012

7. Apr 1, 2012

### HallsofIvy

Staff Emeritus
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.

8. Apr 1, 2012

### Robert1986

Do you know what linear independence means?

9. Apr 1, 2012

### HallsofIvy

Staff Emeritus
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!