In Exercises 6-11, determine whether the given transformations are linear. T(x, y, z) = (2x, y) of R3 R2

From lecture on January 11, 2016 Sets { } Set Builder Notation ( ) or [ ) Interval Notation Order is unimportant. For example, if you have set {2, 5, π}, it does not matter if you write the set as {2, 5, π}, { π, 2, 5}, {5, π, 2}, or as some other configuration. It is possible to remove specific numbers from a set also. For example, if you have the set {2, 5, π} and you are asked to remove the number 2 from the set, you would do so as follows: {2, 5, π} {2} = {5, π} To remove 2 from the set, you simply subtract the number 2. Symbols: € = element of c = subset Numbers All the number types listed below are the ONLY number types being dealt with in this class. Complex numbers, imaginary numbers, etc. will not be covered. 1 Natural Nu