In Exercises 15-20, W is a subspace of R4 consisting of vectors of the form X = X1 15. x₁ - 2x2 + x3 x4 = 0 16. x₁ - 2x3 = 0 17. x₁ = x₂ + 2x4 x3 = X4 X2 X3 Determine dim(W) when the components of x satisfy the given conditions. X4 18. X1 + x32x4 = 0 x2 + 2x3 3x4 = 0 -
In Exercises 15-20, W is a subspace of R4 consisting of vectors of the form X = X1 15. x₁ - 2x2 + x3 x4 = 0 16. x₁ - 2x3 = 0 17. x₁ = x₂ + 2x4 x3 = X4 X2 X3 Determine dim(W) when the components of x satisfy the given conditions. X4 18. X1 + x32x4 = 0 x2 + 2x3 3x4 = 0 -
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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