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Problem Nine (A) Suppose y is orthogonal to both u and v. Show that y is orthogonal to every w in Span(u, v). Remember that every w in Span(u, v) can be written in the form cu +c,v. Consider the following vectors: u =-3 u2 = 2 Uz = (B) Show that {u1, u2, us} is an orthogonal basis for R. (C) Express x as a linear combination of the u's.

Problem Nine (A) Suppose y is orthogonal to both u and v. Show that y is orthogonal to every w in Span(u, v). Remember that every w in Span(u, v) can be written in the form cu +c,v. Consider the following vectors: u =-3 u2 = 2 Uz = (B) Show that {u1, u2, us} is an orthogonal basis for R. (C) Express x as a linear combination of the u's.

Advanced Engineering Mathematics
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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Problem Nine (A) Suppose y is orthogonal to both u and v. Show that y is orthogonal to every w in Span(u, v). Remember that every w in Span(u, v) can be written in the form c,u + c2v. Consider the following vectors: 37 27 Uz = 1 -3 , U2 2 (B) Show that {u1, u2, u3} is an orthogonal basis for R°. (C) Express x as a linear combination of the u's.
Transcribed Image Text:Problem Nine (A) Suppose y is orthogonal to both u and v. Show that y is orthogonal to every w in Span(u, v). Remember that every w in Span(u, v) can be written in the form c,u + c2v. Consider the following vectors: 37 27 Uz = 1 -3 , U2 2 (B) Show that {u1, u2, u3} is an orthogonal basis for R°. (C) Express x as a linear combination of the u's.
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