Find an orthogonal basis for the column space of each matrix.

ankarskogC

ankarskogC

Answered question

2021-09-21

Find an orthogonal basis for the column space of each matrix.
[351111152378]

Answer & Explanation

escumantsu

escumantsu

Skilled2021-09-22Added 98 answers

Use Gram-Schmidt process to orthogonalize column vectors of A
v1=x1=[3113]
v2=x2x2v1v1v1v1=[5157]4020[3113]=[5157]+[6226]=[1331]
v3=x3x3v1v1v1v1x3v2v2v2v2=[1128]3020[3113]1020[1331]=
=[1128][9/23/23/29/2]+[1/23/23/21/2]=[3113]
Orthogonal basis for column space of A:
{[3113],[1331],[3113]}

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