In Problems 114, a subset W of some n-space R n is defined by means of a
Question:
In Problems 1–14, a subset W of some n-space Rn is defined by means of a given condition imposed on the typical vector (x1, x2, ....,xn). Apply Theorem 1 to determine whether or not W is a subspace of Rn.
W is the set of all vectors in R4 such that x1 + 2x2 + 3x3 + 4x4 = 0.
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Suppose xX X X3 x and y 2 3 4 are vectors in W so x 2x 3x34x4 0 2y 3y3 4y 0 Then their sum s xy x...View the full answer
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Related Book For 
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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