Let S be the set of all elements of the form (x + 2y , y , -x + 3y) in R3 , where x,y belongs to R .Show that S is a subspace of R3 .
Let S be the set of all elements of the form (x + 2y , y , -x + 3y) in R3 , where x,y belongs to R .Show that S is a subspace of R3 .
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 10EQ
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Let S be the set of all elements of the form (x + 2y , y , -x + 3y) in R3 , where x,y belongs to R .Show that S is a subspace of R3 .
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