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Basis, Dimension and Orthogonality

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From "The four fundamental subspaces".
Please show each step of your solution.

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Basis, dimension and orthogonality are found fro given matrices.

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(a)
has three columns , , . We note that and . So the basis of is .
has two rows , . We note that . So the basis of is .
To find the null space , we ...

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