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## Answers

**A**and its row echelon matrix,

**Aref**. Previously, we showed how to find the row echelon form for matrix

**A**.

Because the row echelon form

**Aref**has two non-zero rows, we know that matrix

**A**has two independent row vectors; and we know that the rank of matrix

**A**is 2.You can verify that this is correct. Row 1 and Row 2 of matrix

**A**are linearly independent. However, Row 3 is a linear combination of Rows 1 and 2. Specifically, Row 3 = 3*( Row 1 ) + 2*( Row 2). Therefore, matrix

**A**has only two independent row vectors.