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?
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)}