Recent content by ayh123

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    Which of the following are in R(T)?

    Thanks. I knew real numbers wasn't right.. but couldn't think of a way to describe R^3.. set of real vectors in three dimensions? But I think the correct way to describe it is the set of all ordered triples of real numbers. Wanted to clarify one more thing. You said, "In general, R(T), where T...
  2. A

    Which of the following are in R(T)?

    Thanks for the clarification. Is this a common range for T - the set of all real numbers? Is there any way to gauge if that is the case without row reducing a matrix?
  3. A

    Which of the following are in R(T)?

    Homework Statement Let T: R^4 ---> R^3 be the linear transformation given by the formula: T(x1, x2, x3, x4) = (4x1+x2-2x3-3x4, 2x1+x2+x3-4x4, 6x1-9x3+9x4) Which of the following are in R(T)? (a) (0,0,6) (b) (1,3,0) (c) (2,4,1) Homework Equations Not sure what this means...