Question: LINEAR ALGEBRA HELP . . Question: . Define a linear operator T: R3 R3 by T [x y z] = [x + 2z 2x 2x

LINEAR ALGEBRA HELP

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Question:

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Define a linear operator T: R3 R3 by T [x y z] = [x + 2z 2x 2x + y + 3z x - y + 3z]

So the matrix would look something like:

x + 2z

2x + y + 3z

x - y + 3z

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Determine whether the vector v is in R(T). v = [1 3 0]

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Please show and explain your work! Thanks.

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