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AP EAMCET201726 Apr 2017Morning ShiftMathematicsMatricesActual

If a system of three linear equations in three unknowns, which is in the matrix equation form of A X=D , is inconsistent, then rank of A rank of A D is

Options

  1. Aless than one
  2. Bgreater than or equal to one
  3. Cone
  4. Dgreater than one

Correct answer

A. less than one

Step-by-step solution

We have given a system of linear equations with the three unknowns. Here, equations are in the matrix form A X=D such that the system is inconsistent. Rank of Augmented matrix AD > Rank of coefficient matrix A Rank of AD > Rank of A Rank of A Rank of AD < 1

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