Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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can you please help me solve question 11.4.2 please?

Exercise 11.4.2 Consider R4 with the usual dot product. Let
-2
-D-D-
U3 =
H
0
-5
0
5
Note that u₁, ₂, and u3 are orthogonal. Find the best approximation of v in span {u₁, U₂, U3}.
U₁ =
3
"
U₂
3
and
V =
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Transcribed Image Text:Exercise 11.4.2 Consider R4 with the usual dot product. Let -2 -D-D- U3 = H 0 -5 0 5 Note that u₁, ₂, and u3 are orthogonal. Find the best approximation of v in span {u₁, U₂, U3}. U₁ = 3 " U₂ 3 and V =
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