Given a linear transformation T(x,y,z)=(-y,y-2z,-x+z) .. find the matrix which represents this transformation in the basis B = {(1,1,1), (2,2,1), (1,2,3)}

Question

amistre64 · Answer

line up the T equations and pull of the coeffs is my idea

amistre64 · Answer

0x -1y +0z        0  -1  0
  0x +1y -2z        0   1  -2
-1x +0y +1z       -1  0   1

amistre64 · Answer

im not to sure what "in the basis" would mean tho

anonymous · Answer

i think the thing is i should find the transformation in the regular basis and then somehow change it to the given B basis

amistre64 · Answer

well, that there should be the regular matrix for the transformation :)

anonymous · Answer

yes, you wrote it right above, that's the standard basis but how i find it in the B basis ?

amistre64 · Answer

i think you just run the B vectors thru it

anonymous · Answer

hmm are you sure ? because i don't think that's the solution .. the solution is|dw:1341576716024:dw|