Fix an matrix A and an -vector b. A condition that ensures the existence of a solution (an -vector ) of the equation is
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DSE 2008 Question 51: Matrices, determinants and linear systems
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Fix an m× n matrix A and an m -vector b. A condition that ensures the existence of a solution (an n -vector x) of the equation Ax=b is (A) det A≠ 0 (B) m=n (C) the columns of A are linearly independent (D) the rows of A are linearly independent
Also written as: Fix an m* n matrix A and an m -vector b. A condition that ensures the existence of a solution (an n -vector x) of the equation Ax=b is
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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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