GATE CE 2026 Set 1 — Question 12
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Engineering Mathematics → Linear Algebra → Systems of Linear Equations
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Question
Given:The above system of equations represents a
Correct answer
(B) line
Solution
The given system is where . The rank of is 2 (the two rows are linearly independent). The number of variables is . The dimension of the solution space (null space) is . A 1-dimensional subspace in represents a line passing through the origin.
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