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Linear Algebra

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Moderate

Matrix Subspaces

LINALG-IMVJQL

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

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

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 'B' and 'D'.

F

None of the above.