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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- Mar 3rd 2007, 04:14 PMfeage7Linear 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)} - Mar 3rd 2007, 04:52 PMPlato
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? - Mar 3rd 2007, 05:17 PMfeage7
for part b i got

1 1 -2

-1 -3 -2

2 0 1