inclass13-orthog

# inclass13-orthog - [1/7 Orthogonality In-class work orthog...

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3/15/2016 [1/7] Orthogonality - In-class work: orthog - RELATE 1/1 Orthogonality Suppose you have three vectors . Further suppose you know that and . Does it follow that ? x,y,z R3 x , y , z 3 x y x y y z y z x z x z Choice* No Yes

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3/15/2016 [2/7] Find an orthogonal vector - In-class work: orthog - RELATE 1/1 Find an orthogonal vector Given fnd in so that with the dot product. x = , 1 2 2 x=[122], y3 y 3 y = 1 1 y 3 y=[−11y3] x y x y
3/15/2016 [3/7] Orthogonalization step - In-class work: orthog - RELATE 1/1 Orthogonalization step Given two vectors and , which of the following makes ? x x y y x y′ x y Choice* y′=y−(x,y)(x,x)x = y x y ( x , y ) ( x , x ) y′=y−(x,y)(y,x)x = y x y ( x , y ) ( y , x ) y′=y−(x,y)(y,y)x = y x y ( x , y ) ( y , y )

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