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Use the Gram Schmidt method to find an orthonormal basis for R(A), Wh

Use the Gram Schmidt method to find an orthonormal basis for R(A), Wh

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Use the Gram-Schmidt method to find an orthonormal

basis for R(A), Where A =[1 2 1 0 2-2 1 0 3].

Solution

v1=(1,2,1) v2=(0,2,-2) v3=(1,0,3) u1=v1/|v1|

w2=v2-(v2.u1)u1 u2=w2/|w2| w3=v3-(v3.u1)u1-(v3.u2)u2

u3=w3/|w3| so here u1,u2,u3 are the orthonormal

vectors.you can do the calculations to find them out

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Use the Gram-Schmidt method to find an orthonormal basis for R(A), Where A =[1 2 1 0 2 -2 1 0 3]. Solution v1=(1,2,1) v2=(0,2,-2) v3=(1,0,3) u1=v1/|v1| w2=v2-(v2.u1)u1 u2=w2/|w2| w3=v3-(v3.u1)u1-(v3.u2)u2 u3=w3/|w3| so here u1,u2,u3 are the orthonormal vectors.you can do the calculations to find t ...
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