Consider the following system of linear equations:
The value(s) of for which the system of equations have infinitely many solutions is/are
Select all that apply.
1 markMathematicsMatrices, determinants and linear systemsConsistency, rank and solution spacesModerateabout 2 min
GATE 2025 Question 35: Matrices, determinants and linear systems
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Consider the following system of linear equations: x + 2y + 3z = 0 2x + py = 0 3x + 2y + pz = 0 The value(s) of p for which the system of equations have infinitely many solutions is/are (A) p = 1 (B) p = 2 (C) p = 6 (D) p = 12
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What this question tests
This question is on Consistency, rank and solution spaces, part of Matrices, determinants and linear systems in Mathematics.
Whether a system has no solution, one or many, and the shape of its solution set.
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