Mathematics · Linear Algebra
If A1 and A2 are row-reduced echelon matrices of order 2 × 3, such that the homogeneous systems A1X = 0 and A2X = 0 have exactly the same solution space, then which of the following is true?
- 1A1 = O and A2 = O must hold true
- 2A1 and A2 can be different non-zero matrices
- 3A1 = A2✓
- 4A1 = 2A2
Correct answer
A1 = A2
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