Let W = {(a, b, c, d) E R*| a – b = 0,2b + c = d}. i. Show that W is a subspace of R*. ii. Find a basis for W, and dim W.

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 29EQ: In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=M22,W={[abcd]:adbc}
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Let W = {(a, b, c, d) E R*| a – b = 0,2b + c = d}.
i. Show that W is a subspace of Rt.
ii. Find a basis for W, and dim W.
Transcribed Image Text:Let W = {(a, b, c, d) E R*| a – b = 0,2b + c = d}. i. Show that W is a subspace of Rt. ii. Find a basis for W, and dim W.
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