For a system of linear equations with equations and variables, where and is a given vector, the following is true.
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1 markMathematicsMatrices, determinants and linear systemsConsistency, rank and solution spacesModerateabout 3 min
DSE 2011 Question 5: Matrices, determinants and linear systems
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For a system of linear equations Ax=b with m equations and n variables, where m>n and b is a given vector, the following is true. (A) It can never have a unique solution. (B) It always has at least one solution. (C) It has at least a one-dimensional solution space. (D) If Rank(A)=n and a solution exists, it must be unique.
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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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