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    "Give a basis of the vector space defined by the equation -3x-y=0 in R^3. Answer should be a 3x2 matrix."

    I've tried looking through my notes but can't jog my memory on how this is done, could someone please lend a helping hand.

    Thanks forum
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    (Original post by MathStuden)
    "Give a basis of the vector space defined by the equation -3x-y=0 in R^3. Answer should be a 3x2 matrix."

    I've tried looking through my notes but can't jog my memory on how this is done, could someone please lend a helping hand.

    Thanks forum
    The vector space is clearly two-dimensional, because we apply one constraint to a 3D space. You just want two linearly independent vectors which span that space. What does the space look like, if you were to plot it embedded in R^3? Does that make it easier to work out two spanning vectors?
 
 
 
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