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Stat 5102 Notes: Gram-Schmidt

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The matrix whose rows are these vectors<br />

⎛<br />

⎜<br />

A = ⎜<br />

⎝<br />

1 1 1 1<br />

2 2 2 2<br />

√3 12<br />

− 1 √<br />

12<br />

− 1 √<br />

12<br />

− 1 √<br />

12<br />

0 √6 2 − 1 √<br />

6<br />

− 1 √<br />

6<br />

0 0 √2 1 − 1 √<br />

2<br />

is one possibility for the A that is used in the proof if the big theorem in<br />

Section 7.4 of DeGroot and Schervish.<br />

6<br />

⎞<br />

⎟<br />

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