GATE_AE_2027_MOCK_03_Q36 GATE 2027 Aerospace Engineering All-India Master Mock 03 (Flight Dynamics, Controls & Space Trajectories) NAT · 2 Marks
Engineering Mathematics • Linear Algebra • System of Linear Equations & Rank

Find the rank of the 3x3 matrix: M = [[1, 2, 3], [2, 4, 6], [3, 6, 9]].

Answer Key:
1

Step-by-Step Verified Solution

### Solution: Row 2 is 2 * Row 1 and Row 3 is 3 * Row 1. All rows are linearly dependent multiples of the first row. Rank = 1. Correct: 1.
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