Consider the system: , , . This system has
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2 marksMathematicsMatrices, determinants and linear systemsConsistency, rank and solution spacesModerateabout 3 min
DSE 2009 Question 24: Matrices, determinants and linear systems
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Consider the system: x-y+z=1, 3x+z=3, 5x-2y+3z=5. This system has (A) the unique solution (x,y,z)=(1,0,0) (B) the solution set {(1-z/3,2z/3,z)| z∈ℜ} (C) the solution set {(1-z/3,2z/3,z)| z≥ 0} (D) multiple solutions, but not described by (b) or (c).
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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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