Which of the following linear transformations from R3 to R3
Which of the following linear transformations from R^3 to R^3 are invertible? Projection onto the yz- plane Identity transformation (i.e. T(v) = v for all v) Reflection in the xy- plane Projection into the x- axis Reflection in the origin Rotation about the z-axis Trivial transformation (i.e. T(v) = 0 for all v) Dilation by a factor of 3
Solution
from the given transformations 2, 3, 6, 8 are invertable
and remaining 1,4,5,7 are not
