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Independence, span and rank of matrices

Let A be the following (2x3) matrix:

1 0 2
2 1 3

I would welcome an explanation of whether:

- the columns of A are independent
- the rows of A are independent
- the columns of A span R2 or R3
- the rows of A span R3
- the rank of A is 1 or 2.

Solution Preview

Let A be the following (2x3) matrix:

1 0 2
2 1 3

I would welcome an explanation of whether:

- the columns of A are independent;

No, as three ...

Solution Summary

This provides brief explanations regarding independence, span, and rank of a matrix.

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