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GATE EE 2025 Set 1 — Question 13

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MCQ+1 / -0.33EasySystems of Linear EquationsLinear AlgebraEngineering MathematicsExistence & Uniqueness

Engineering Mathematics → Linear Algebra → Existence & Uniqueness

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Question

Let A=[111−1−1−101−1]A = \begin{bmatrix} 1 & 1 & 1 \\ -1 & -1 & -1 \\ 0 & 1 & -1 \end{bmatrix}, and b=[1/3−1/30]b = \begin{bmatrix} 1/3 \\ -1/3 \\ 0 \end{bmatrix}. Then, the system of linear equations Ax=bAx = b has
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