Asked by mathstudent
Let T1: P1 -> P2 be the linear transformation defined by:
T1(c0 + c1*x) = 2c0 - 3c1*x
Using the standard bases, B = {1, x} and B' = {1, x, x^2}, what is the transformation matrix
[T1]B',B
T(c0 + c1*x) = 2c0 - 3c1*x --->
T(1) = 2
T(x) = -3x
So, the matrix elements are:
T_{1,1} = 2
T_{1,2} = 0
T_{2,1} = 0
T_{2,2} = -3
T_{3,1} = 0
T_{3,2} = 0
T1(c0 + c1*x) = 2c0 - 3c1*x
Using the standard bases, B = {1, x} and B' = {1, x, x^2}, what is the transformation matrix
[T1]B',B
T(c0 + c1*x) = 2c0 - 3c1*x --->
T(1) = 2
T(x) = -3x
So, the matrix elements are:
T_{1,1} = 2
T_{1,2} = 0
T_{2,1} = 0
T_{2,2} = -3
T_{3,1} = 0
T_{3,2} = 0