| Line 12: | Line 12: | ||
[[2013_Fall_MA_527_Bell|Back to MA527, Fall 2013]] | [[2013_Fall_MA_527_Bell|Back to MA527, Fall 2013]] | ||
| + | |||
| + | Questions from a student : | ||
When finding a basis, does it always have to be fully reduced? For example, if you have a basis [4 -2 6] does it need to be reduced to [2 -1 3] or is either answer acceptable? [[User:Jones947|Jones947]] | When finding a basis, does it always have to be fully reduced? For example, if you have a basis [4 -2 6] does it need to be reduced to [2 -1 3] or is either answer acceptable? [[User:Jones947|Jones947]] | ||
| + | |||
| + | Answer from [[User:Park296|Eun Young]] : | ||
| + | |||
| + | No, it doesn't need to be reduced. If { [4 -2 6] } is a basis for some vector space <math>V</math>, then { [2 -1 3] } is also a basis for <math>V</math> and vice versa. A basis for a vector space is not unique but a dimension of a vector space is unique. | ||
Revision as of 06:08, 29 August 2013
Homework 2 collaboration area
Here is the Homework 2 collaboration area. Since HWK 2 is due the Wednesday after Labor Day, I won't have a chance to answer questions on Monday like usual. I will answer any and all questions here on the Rhea on Tuesday with help from Eun Young Park. - Steve Bell
Questions from a student :
When finding a basis, does it always have to be fully reduced? For example, if you have a basis [4 -2 6] does it need to be reduced to [2 -1 3] or is either answer acceptable? Jones947
Answer from Eun Young :
No, it doesn't need to be reduced. If { [4 -2 6] } is a basis for some vector space $ V $, then { [2 -1 3] } is also a basis for $ V $ and vice versa. A basis for a vector space is not unique but a dimension of a vector space is unique.
