AP EAMCET · Maths · Matrices
If a system of three linear equations in three unknowns, which is in the matrix equation form of \(A X=D\), is inconsistent, then \(\frac{\text { rank of } A}{\text { rank of } A D}\) is
- A less than one
- B greater than or equal to one
- C one
- D greater than one
Answer & Solution
Correct Answer
(A) less than one
Step-by-step Solution
Detailed explanation
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. \(\therefore \quad\) Rank of Augmented matrix AD \(>\) Rank of coefficient matrix A Rank of AD > Rank of A…
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