4. Let { u1, Uz, u3, U4, U5} be an orthogonal basis for R$ , y a vector in RS , w1 =Span { u1, Uz} and W, = Span{ u3, U4, Uz} . Which of the following is False?(a) W1 = W2"(b) W2 = W1'(c) There are two vectors zzin W1 and zzin W2such that y = z1 + z2(d) y is orthogonal to W1 and W2.

4. Let { u1, Uz, U3, U4, U5} be an orthogonal basis for R$, y a vector in R$ , W1 = Span { u, uz} and W, = Span{u3, U4, Uz} . Which of the following is False? (a) W, = W2+ (b) W2 = W,' (c) There are two vectors z¡in W1 and zzin W2such that y = z1 + zz (d) y is orthogonal to W1 and W2.

4. Let { u1, Uz, U3, U4, U5} be an orthogonal basis for R$, y a vector in R$ , W1 = Span { u, uz} and W, = Span{u3, U4, Uz} . Which of the following is False? (a) W, = W2+ (b) W2 = W,' (c) There are two vectors z¡in W1 and zzin W2such that y = z1 + zz (d) y is orthogonal to W1 and W2.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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4. Let { u1, Uz, u3, U4, U5} be an orthogonal basis for R$ , y a vector in RS , w1 =
Span { u1, Uz} and W, = Span{ u3, U4, Uz} . Which of the following is False?
(a) W1 = W2"
(b) W2 = W1'
(c) There are two vectors zzin W1 and zzin W2such that y = z1 + z2
(d) y is orthogonal to W1 and W2.

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