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The rank of the given matrix, determined using its column echelon form, is **2**.

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Here are 5 related questions to expand on this topic:
1. What is the definition of a matrix rank?
2. How does column echelon form differ from row echelon form?
3. Can the rank of a matrix change if a row is added or removed?
4. What does the rank of a matrix tell us about the solution to a system of equations?
5. How can we compute the rank of a matrix using determinant properties?

**Tip:** The rank of a matrix is the maximum number of linearly independent columns (or rows) it contains.

Find the rank using column echelon form for the given matrix.

Learn how to determine the rank of a matrix using its column echelon form. This problem covers linear algebra concepts such as matrix rank, linearly independent columns, and echelon forms. Ideal for college students studying linear algebra.

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