Comment : Linear Transformations quiz
Comment : This quiz is designed to test your knowledge of linear transformations and related concepts
Comment : such as rank, nullity, invertibility, null space, range, etc.

Question 1: Let T: R^4 -> R^4 be the transformation T(x_1,x_2,x_3,x_4) = (0,x_1,x_2,x_3). The null space (or kernel) N(T) of T consists of all vectors of the form


(0, x_1, x_2, x_3), where x_1, x_2, x_3 are real numbers
(x_1, 0, 0, 0), where x_1 is a real number
(1, 0, 0, 0)
(x_1, x_2, x_3, 0), where x_1, x_2, x_3 are real numbers
(0, 0, 0, 1)
(0, 0, 0, x_4), where x_4 is a real number
(x_4, 0, 0, 0), where x_4 is a real number