I am having trouble proving that the following are linear transformation:

1) T:R^3---> R^2 is an L.T defined by T(a1,a2,a3)= (a1-a2,2a3)

2)T:P2(R)--->R^3be a linear transformation defined by T(a0+a1x+a2x^2)=(a0,a1,a2)

thanks

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- June 20th 2008, 03:16 AMJCIRLinear Algebra please help.Exam in a couple of hours.
I am having trouble proving that the following are linear transformation:

1) T:R^3---> R^2 is an L.T defined by T(a1,a2,a3)= (a1-a2,2a3)

2)T:P2(R)--->R^3be a linear transformation defined by T(a0+a1x+a2x^2)=(a0,a1,a2)

thanks - June 20th 2008, 03:35 AMkalagota