Determine the kernel and range of each of the following linear operators on R³: 1. l(x) = (x3, x2, x1)t 2. l(x) = (x1, x2, 0)t 3. l(x) = (x1, x1, x1)t
A) Kernel: {0}, Range: R³ for all operators
B) Kernel: R³, Range: {0} for all operators
C) Kernel: {0}, Range: {0} for all operators
D) Kernel: R³, Range: R³ for all operators