Find a Basis for the Subspace of R4

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    Basis Subspace
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Homework Help Overview

The problem involves finding a basis for a subspace of R4 that is spanned by a given set of vectors. The original poster presents a set of vectors and mentions difficulties in row reducing the associated matrix to obtain a basis.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to use matrix row reduction but is uncertain about the correctness of their results. Some participants suggest alternative methods, such as the Gram-Schmidt process, while others encourage sharing the results of the row reduction for further insight.

Discussion Status

The discussion is ongoing, with participants exploring different methods and questioning the original poster's approach. There is no explicit consensus yet, but suggestions for alternative techniques and the importance of showing work have been provided.

Contextual Notes

The original poster expresses frustration with obtaining incorrect numbers during the row reduction process, indicating potential misunderstandings or errors in their approach. There is no mention of specific homework constraints or rules.

Tempest Desh
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Homework Statement



Find a basis for the subspace of R4 spanned by S.


Homework Equations



S: {(2,9,-2,53), (-3,2,3,-2), (8,-3,-8,17), (0,-3,0,15)}

I've attempted this using a matrix and row reducing it. I'm just not sure if there's another simpler way, as I keep on getting incorrect numbers in the matrix, when I try and put it in row-echelon format. Thanks in advance for any and all assistance.

See you on the flipside,

Tempest Desh
 
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A quick way to apply your idea. Go to http://www.wolframalpha.com/ and enter:

RowReduce[{{2, 9, -2, 53}, {-3, 2, 3, -2}, {8, -3, -8, 17}, {0, -3, 0, 15}}]
 
It really might help a lot to figure out what you are doing wrong if you showed us what you got when you row reduced it. Wouldn't it? That is the right way to do it.
 

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