Consider the vector v = (6, 1, -3) in R. Let V be the subspace of R consisting of all vectors of the form (a, 2a, b). Decompose v into the sum of a vector that lies in V, w, and a vector orthogonal to V, w. v = w + w, = +

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the vector v
(6, 1, -3) in R’. Let V be the subspace of R consisting of all vectors of the form (a, 2a, b). Decompose v into the sum of a vector that lies in V, w, and a
vector orthogonal to V, w
v = w + w
+
Transcribed Image Text:Consider the vector v (6, 1, -3) in R’. Let V be the subspace of R consisting of all vectors of the form (a, 2a, b). Decompose v into the sum of a vector that lies in V, w, and a vector orthogonal to V, w v = w + w +
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