1) compute || w|| 2) use || w|| to define a unit vector u, which is parallel to w

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Using the orthogonal projection 1) compute || w|| 2) use || w|| to define a unit vector u, which is parallel to w 3) second image 4) identify the component of x that is parallel to L and the component of x that is orthogonal to L 5) compute the reflection of x across line L; ref L(x)
Orthogonal Projections are extremely important both as theoretical and algorithmic building
block in linear algebra
Let
and L be the line {kw : k ER}, where w =
ther, curSize)
CL
W
125
Transcribed Image Text:Orthogonal Projections are extremely important both as theoretical and algorithmic building block in linear algebra Let and L be the line {kw : k ER}, where w = ther, curSize) CL W 125
Note that since ü and w are parallel, they both describe the same line, L:
L = {kw : k E R} = {kũ : K E R}
|3|
Now, use the projection formula to project i onto the line L; projr (7):
other, curSize)
« 0 w
Transcribed Image Text:Note that since ü and w are parallel, they both describe the same line, L: L = {kw : k E R} = {kũ : K E R} |3| Now, use the projection formula to project i onto the line L; projr (7): other, curSize) « 0 w
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