What is the rank of the matrix with rows (3, 4, 7); (1, 2, 3); (4, 6, 10)?
Answer and explanation
Correct answer: A. 2
- Step 1: The third row is the sum of the first two rows, so the rows are dependent. Step 2. Two rows are independent, so the rank is 2. Answer: 2. Why not the others: 3 is what you get if you assume full rank. 1 is what you get if you think the rows are all multiples of one row. 0 is what you get if you treat it as the zero matrix.
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