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Math Help - Linear Transformations

  1. #1
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    Linear Transformations

    Let T be a linear transformation on V3(R) defined by

    T(x,y,z) = ( x+3y , x+y-2z , x+y+z )

    Find the matrix of T relative to

    i) the standard basis for V3(R)

    (think thats {(1,0,0),(0,1,0),(0,0,1)})

    ii) the R-basis {(1,0,1),(-2,1,1),(1,-1,1)}
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  2. #2
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    The matrix for part a is:
    1 3 0
    1 1 2
    1 1 1.

    What do you think is the matrix for part b?
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  3. #3
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    for part b i got

    1 1 -2
    -1 -3 -2
    2 0 1
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