Let V1 0 0 0 and V3 = -2 2 -5 Use the Gram-Schmidt procedure to produce an orthogonal set with the same span. (Hint: If you have unlimited submissions, it might be useful to submit to check your answer for each vector w; before continuing.) Note: The w; must be given in the same order as provided by the standard procedure. W₁ = ----- (V2, W1) = (W1, W1) = W2= 0000 (V3, W1) = (V3, W2) = (W2, W2) = W3 = 0000

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 48E
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Let
V1
0
0
0
and V3 =
-2
2
-5
Use the Gram-Schmidt procedure to produce an orthogonal set with the same span. (Hint: If you have unlimited submissions, it might be useful to submit to check your answer for each vector w; before continuing.) Note: The w; must be given in the same order as provided by the standard procedure.
W₁ =
-----
(V2, W1) =
(W1, W1) =
W2=
0000
(V3, W1) =
(V3, W2) =
(W2, W2) =
W3 =
0000
Transcribed Image Text:Let V1 0 0 0 and V3 = -2 2 -5 Use the Gram-Schmidt procedure to produce an orthogonal set with the same span. (Hint: If you have unlimited submissions, it might be useful to submit to check your answer for each vector w; before continuing.) Note: The w; must be given in the same order as provided by the standard procedure. W₁ = ----- (V2, W1) = (W1, W1) = W2= 0000 (V3, W1) = (V3, W2) = (W2, W2) = W3 = 0000
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