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| Math Central | Quandaries & Queries |
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Question from John, a student: A= 1 1 0 0 B= 1 5 6 Is the space spanned by the columns of A the same as the space spanned by the columns of B? |
John,
One way to approach this just from first principles is to ask if each of the three columns of B can be written as a linear combination of the columns of A. If so then the column space of B is a subset of the column space of A. In a similar way see if the column space of A is a subset of the column space of B.
Harley
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