What is the rank of the matrix with rows (4, 8, 12); (8, 16, 24); (12, 24, 36)?

Answer and explanation

Correct answer: D. 1

  1. Step 1: Every row is a multiple of (1, 2, 3). Step 2. So the rank is 1. Answer: 1. Why not the others: 2 is what you get if you count two independent rows. 3 is what you get if you assume full rank. 0 is what you get if you treat it as the zero matrix.

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