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Suppose that A is a 6x6 matrix with rank 4. Let X be the span of the columns of A. What...

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Suppose that A is a 6x6 matrix with rank 4.

Let X be the span of the columns of A. What is the dimension of X?

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Let A is a 6x6 matrix with rank 4.

The dimension of its column space (and row space) is called the rank of matrix A.

So dimension of X= 4

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