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Mathematics, 02.03.2020 18:52 maxout67

Consider the list of n n-vectors:
1 1 1
0 1 1
a1= [ 0 ], a2= [ 0 ] ,, an= [ 1 ]
. . .
. . .
. . .
0 0 1

(The vector ai has its first i entries equal to one, and the remaining entries zero.)
Describe what happens when you run the Gram–Schmidt algorithm on this list of vectors, i. e., say what q1,..., qn are. Is a1,..., an a basis?

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Consider the list of n n-vectors:
1 1 1
0 1 1
a1= [ 0 ], a2= [ 0 ] ,, an= [ 1 ]
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