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Math Help - Linear algebra problem

  1. #1
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    Linear algebra problem

    Can someone show me how to do this problem? I really have no clue.
    Given the vector space V of all the polynomials of degree less than or equal to 2. Consider the linear transformation L: V \rightarrow V by L= c^2+c+I. For example, L(x^2)=x^2+2x+2. Compute det(L) and Tr(L).
    I think I have to pick a basis in this vector space, so I can pick the standard basis, but I have no clue how to proceed.
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  2. #2
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    Quote Originally Posted by jackie View Post
    Can someone show me how to do this problem? I really have no clue.
    Given the vector space V of all the polynomials of degree less than or equal to 2. Consider the linear transformation L: V \rightarrow V by L= c^2+c+I. For example, L(x^2)=x^2+2x+2. Compute det(L) and Tr(L).
    I think I have to pick a basis in this vector space, so I can pick the standard basis, but I have no clue how to proceed.
    The definition of L is not clear.
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  3. #3
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    Quote Originally Posted by ThePerfectHacker View Post
    The definition of L is not clear.
    I copied the problem from my problem set. I am so confused.
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