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Linear Algebra

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Moderate

Subspaces Associated with a Matrix

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Suppose that $M$ is an $n\times m$ matrix.

Which of the following would be a subspace of $R^m$?

A

The row space of $M$.

B

The column space of $M$.

C

The null space of $M$.

D

The null space of $M^T$.

E

Both Choices 'A' and 'C'.

F

Both Choices 'A' and 'B'.