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Finding basis

  1. Oct 27, 2012 #1
    I know how to do the problem, just put the 4 vectors in matrix form and find for what values of k is the detminant =0. the answer is then that k can't equal the value that was found.

    Is there a easier way to do this?

    My method involves finding the determinant using the expansion method, which seems like a long way. Is there a faster way?
     

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  3. Oct 27, 2012 #2

    haruspex

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    In this example, it's quicker to spot simplifications first.
    Add 3rd vector to 2nd to produce (0, 2, 0, 7).
    Multiply 1st by 7 and new 2nd by 2 then subtract 2nd from 1st.
    etc.
     
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