Find the dimension of the subspace spanned by the given

rescuedbyhimw0

rescuedbyhimw0

Answered question

2021-12-06

Determine the dimension of the subspace spanned by the given vectors
[102],[311],[942],[731]

Answer & Explanation

Pulad1971

Pulad1971

Beginner2021-12-07Added 22 answers

The matrix A with these vectors as its columns row reduces to
[139701432121]=[103201430000]
There are two pivot columns, so the dimension of Col A (which is the dimension of the subspace spanned by the vectors) is 2.

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