The **column space** (or **range**) of a matrix *A* is the vector subspace spanned by its column vectors. The dimension of the column space (or the number of linearly independent column vectors) is the rank of the matrix.

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**column space** (or **range**) of a matrix *A* is the vector subspace spanned by its column vectors. The dimension of the column space (or the number of linearly independent column vectors) is the rank of the matrix.

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