Question: Please help me find the solution to these practices problems. Please show work and number the questions Exercise 7.6.2: Finding the matrix representation of a

Please help me find the solution to these practices problems. Please show work and number the questions

Please help me find the solution to these
Exercise 7.6.2: Finding the matrix representation of a linear transformation with respect to nonstandard bases. Find [Ilg for each of the given linear transformations and bases B and C. (a) T : 3 -> R' defined by T -2x3 O B = (b) T: P3 -> R defined by a1 + 3a3 T (alx3 + a2x2 + agx + a4) = a2 -5a4 B - {1, x, x +x', 1+x3), c= (c) T : P1 -+ P2 defined by T(aix + ao) = (a1 + 200)x2 - (a1 + ao)x + 300 B = {1, 1-x} , C = {1, x + 2,x2 -1}

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