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Math Help - Linear Algebra....

  1. #1
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    Linear Algebra....

    Missed class last week, and I'm not sure how to do this problem. I have three more like it, but if I can see the processes step-wise, I can do the others. Thanks.

    Let S = (v1, v2, v3, v4, v5) where

    v1=(1,1,0,-1)
    v2=(0,1,2,1)
    v3=(1,0,1,-1)
    v4=(1,1,-6,-3)
    v5=(-1,-5,1,0)

    Find a basis for the subspace W=span S of R^4.
    What is dim W?

    and also...

    Are the vectors bases for R

    {(1, 0, 0) , (0, 2, -1), (3, 4, 1) , (0, 1, 0)}
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  2. #2
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    Quote Originally Posted by amor_vincit_omnia View Post
    Missed class last week, and I'm not sure how to do this problem. I have three more like it, but if I can see the processes step-wise, I can do the others. Thanks.

    Let S = (v1, v2, v3, v4, v5) where

    v1=(1,1,0,-1)
    v2=(0,1,2,1)
    v3=(1,0,1,-1)
    v4=(1,1,-6,-3)
    v5=(-1,-5,1,0)

    Find a basis for the subspace W=span S of R^4.
    What is dim W?

    and also...

    Are the vectors bases for R

    {(1, 0, 0) , (0, 2, -1), (3, 4, 1) , (0, 1, 0)}
    Make \{v_1,v_2,...v_5 \} the row vectors in a matrix. Reduce the matrix to row eshelon form. The non zero row vectors will form a basis for the subspace they span of \mathbb{R}^4
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