T:R3 - R3: T (x,y,z) = (2x-y, x+z, y-z); w= (3,3,0)
Here is my solution:
T (3,3,0) = (2x3-3, 3+0, 3-0)
T (3,3,0) = (3, 3, 3)
What I am doing wrong? And how to explain if it is in the range or not? Thank you!
T:R3 - R3: T (x,y,z) = (2x-y, x+z, y-z); w= (3,3,0)
Here is my solution:
T (3,3,0) = (2x3-3, 3+0, 3-0)
T (3,3,0) = (3, 3, 3)
What I am doing wrong? And how to explain if it is in the range or not? Thank you!
2x -y = 3
x +z = 3
y -z = 0
Use row reduction or substitution to get x = 2, y = 1, z = 1.
T(2, 1, 1) = (3, 3, 0)
Comments
Thank you!