For each of the following sets, if possible, write the set as null(A) or im(A) for some matrix A. Otherwise, show that it is not a subspace. T 2r+t *U-{(1) MATER) {(₁ a) = : r, s, tER s-r-t -6t b) V = {(x, y, z, w) ≤ R¹ : x+y=z+w and 3z - x = 2 = 2yw} c) The plane in R3 containing the points (1. 1. 1). (1.2.-1), and (0.-1.1).
For each of the following sets, if possible, write the set as null(A) or im(A) for some matrix A. Otherwise, show that it is not a subspace. T 2r+t *U-{(1) MATER) {(₁ a) = : r, s, tER s-r-t -6t b) V = {(x, y, z, w) ≤ R¹ : x+y=z+w and 3z - x = 2 = 2yw} c) The plane in R3 containing the points (1. 1. 1). (1.2.-1), and (0.-1.1).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.1: Vector Spaces And Subspaces
Problem 42EQ
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