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    Find basis

    Find a basis for the eigenspace E2 , corresponding to the eigenvalue λ = 2 of the matrix

    B =
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    Quote Originally Posted by matty888 View Post
    Find a basis for the eigenspace E2 , corresponding to the eigenvalue λ = 2 of the matrix

    B =
    Essentially solve Bx = 2x where x = [a;b;c].

    So -a + b + c = 0, Thus the general form of the vectors in the eigenspace are (x+y,x,y) and its dimension is 2.

    So one of the basis is \{ (1,1,0),(1,0,1)\}
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