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Math Help - Basis and eigenvectors

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    Basis and eigenvectors

    Can R^3 have a basis of eigenvectors all of which have 0 in their first components, why or why not? Thank you in advance for your time.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: Basis and eigenvectors

    Quote Originally Posted by nivek0078 View Post
    Can R^3 have a basis of eigenvectors all of which have 0 in their first components, why or why not? Thank you in advance for your time.
    No, the rank of those three vectores is <3.
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