Find the matrix of this linear transformation T with respect to the given basis. T(f(t)) = f(3) from P2 to P2, with respect to the basis B = (1, t-3, (t-3)^2). My answer (with ; denoting a new row) is [1 0 0 ; 0 0 0 ; 0 0 0]. Is this right?
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Originally Posted by noles2188 Find the matrix of this linear transformation T with respect to the given basis. T(f(t)) = f(3) from P2 to P2, with respect to the basis B = (1, t-3, (t-3)^2). My answer (with ; denoting a new row) is [1 0 0 ; 0 0 0 ; 0 0 0]. Is this right? Not sure I understand this correctly - but T(f(t)) = f(3) doesn't appear to be a linear transformation. For e.g. what is T(0)? I am be wrong here please - but would you mind checking?
Originally Posted by aman_cc Not sure I understand this correctly - but T(f(t)) = f(3) doesn't appear to be a linear transformation. For e.g. what is T(0)? I am be wrong here please - but would you mind checking? Your answer looks correct to me. Please ignore the post above
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