¿Espacios vectoriales euclidianos?
Sean u=(4,1,2,3); v=(0,3,8,-2) y w=(3,1,2,2) Evaluar la norma de ||3u-5v+w||
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Sean u=(4,1,2,3); v=(0,3,8,-2) y w=(3,1,2,2) Evaluar la norma de ||3u-5v+w||
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Verified answer
Hola
3 u = (12 , 3 , 6 , 9)
- 5 v = (0 , -15 , -40 , 10)
w = (3 , 1 , 2 , 2)
3 u - 5 v + w = (15 , -11 , -32 , 21)
Norma euclídea
||3 u - 5 v + w|| = √( (15)^2 + (-11)^2 + (-32)^2 + (21)^2 )
||3 u - 5 v + w|| = √( 225 + 121 + 1024 + 441 )
||3 u - 5 v + w|| = √1811
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