In Exercises 15-20, W is a subspace of R4 consisting of vectors of the form X = X1 X2 X3 15. x₁ - 2x2 + x3 x4 = 0 16. x₁ - 2x3 = 0 17. x₁ = -x₂ + 2x₁ X4 Determine dim(W) when the components of x satisfy the given conditions. 18. x₁ + x3 = 2x₁ = 0
In Exercises 15-20, W is a subspace of R4 consisting of vectors of the form X = X1 X2 X3 15. x₁ - 2x2 + x3 x4 = 0 16. x₁ - 2x3 = 0 17. x₁ = -x₂ + 2x₁ X4 Determine dim(W) when the components of x satisfy the given conditions. 18. x₁ + x3 = 2x₁ = 0
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 28EQ: In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=M22,W={[abb2a]}
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