# Basis, Dimension and Orthogonality

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From "The four fundamental subspaces".

Please show each step of your solution.

https://brainmass.com/math/linear-algebra/basis-dimension-orthogonality-171730

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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 ...

#### Solution Summary

Basis, dimension and orthogonality are found fro given matrices.

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