Find a basis for the space spanned by the given vectors, v_1...,v_5PS

geduiwelh 2021-09-18 Answered

Find a basis for the space spanned by the given vectors, v1,v5
[12650011330123111141][10012010350010200000]

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Expert Answer

Arnold Odonnell
Answered 2021-09-19 Author has 109 answers

This problem is equivalent to finding a basis for Col A, where
[12650011330123111141][10012010350010200000]
Since the reduced echelon form A is
[12650011330123111141][10012010350010200000]
we see that the first, second and third columns of A are its pivot columns. Thus a basis for the space spanned by the given vectors is
[1001],[2111],[6121]
Result: Basis is [1001],[2111],[6121]

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