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please kindly explain!
Suppose T: P_2 rightarrow M_2, 2 is a linear transformation whose action on a basis for P_2 is as follows: T(x^2, x+ 1) = [-10 6 10 1] T(x^2 + 1) = [-5 3 5 -1] T(2x^2 + 2x + 4) = [-30 18 30 -2] Describe the action of T on a general polynomial, using a, b, and c as constants. T(ax^2 + bx + c) = [0 0 0 0] Show transcribed image text Suppose T: P_2 rightarrow M_2, 2 is a linear transformation whose action on a basis for P_2 is as follows: T(x^2, x+ 1) = [-10 6 10 1] T(x^2 + 1) = [-5 3 5 -1] T(2x^2 + 2x + 4) = [-30 18 30 -2] Describe the action of T on a general polynomial, using a, b, and c as constants. T(ax^2 + bx + c) = [0 0 0 0]
please kindly explain!
Suppose T: P_2 rightarrow M_2, 2 is a linear transformation whose action on a basis for P_2 is as follows: T(x^2, x+ 1) = [-10 6 10 1] T(x^2 + 1) = [-5 3 5 -1] T(2x^2 + 2x + 4) = [-30 18 30 -2] Describe the action of T on a general polynomial, using a, b, and c as constants. T(ax^2 + bx + c) = [0 0 0 0]
Show transcribed image text Suppose T: P_2 rightarrow M_2, 2 is a linear transformation whose action on a basis for P_2 is as follows: T(x^2, x+ 1) = [-10 6 10 1] T(x^2 + 1) = [-5 3 5 -1] T(2x^2 + 2x + 4) = [-30 18 30 -2] Describe the action of T on a general polynomial, using a, b, and c as constants. T(ax^2 + bx + c) = [0 0 0 0]1
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Patrina SchowalterLv2
25 Jul 2019