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  • 1 Post By saravananbs

Math Help - Plz Help This

  1. #1
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    Post Plz Help This

    file is attached
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  2. #2
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    Re: Plz Help This

    It is highly advisable to post problems in plain text, not in the attached file.

    Quote Originally Posted by saqifriends View Post
    Find a standard basis vector that can be added to the set {v1, v2} to produce a basis for R^3 where;
    v1 = (-1, 2, 3), v2 = (1, -2, -2)
    According to Wikipedia, the standard basis consists of orthogonal unit vectors, while v1 and v2 are neither orthogonal not unit. So, what does a "standard basis vector" means here? A vector from some standard basis, i.e., just a unit vector?

    One way to get a third linearly independent vector is to take the cross product of the first two.
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  3. #3
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    Re: Plz Help This

    the standard basis for R^3 is {(1,0,0), (0,1,0), (0,0,1)}

    [ 1 -2 -2]
    [-1 2 3]

    reduce it echo-matrix
    [ 1 -2 -2]
    [ 0 0 1]

    here (0,1,0) is required for generating R^3
    Thanks from emakarov
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