Please help. I always have a hard time with Linear Algebra. What's the difference between mapping from R3 into R2 and mapping from R2 into R3?
Why is the following not a linear transformation from R3 into R2?
L(x) = (1 + x1, x2)^T
And why is this one not a linear transformation from R2 into R3?
L(x) = (x1, x2, 1)^T
Thanks!© BrainMass Inc. brainmass.com October 9, 2019, 3:23 pm ad1c9bdddf
The difference between R3->R2 and R2->R3 is that they have different domain and range.
For the mapping ...
This shows why given mappings are or are not linear transformations.