Consider the equation where A is an matrix such that for every and whenever . This equation has
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2 marksMathematicsMatrices, determinants and linear systemsConsistency, rank and solution spacesModerateabout 3 min
DSE 2008 Question 53: Matrices, determinants and linear systems
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Consider the equation Ax=0 where A is an n× n matrix such that aᵢᵢ≠ 0 for every i∈{1,…,n} and aᵢⱼ=0 whenever i>j. This equation has (A) n distinct solutions (B) an n-1 dimensional vector space of solutions (C) exactly one solution (D) an n dimensional vector space of solutions
Also written as: Consider the equation Ax=0 where A is an n* n matrix such that a_(ii)!= 0 for every i in {1,...,n} and a_(ij)=0 whenever i>j. This equation has
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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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