Published by:
CGP EDU Academic Team
Published on: August 11, 2026
For the system of linear equations: 
consider the following statements:
The system has unique solution if 
The system has unique solution if 
A
and 
only
B
and 
only
C
The system has unique solution if 
The system has no-solution if 
. 
The system has infinite number of solutions if 
Which of the following statements are correct?
and 
only
The system has no-solution if . The system has infinite number of solutions if Which of the following statements are correct? and only
D
and 
only
Text Solution
Verified by ExpertsThe correct answer is:
C
c JEE Main 2021
Let 
is skew-symmetric matrix
From equation 
equation have infinite number of solution
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The system of linear equations
is inconsistent if :
Let and be real matrices such that is symmetric matrix and is skew-symmetric matrix. Thenthe s…
If for the matrix, then the value of is
Let be a matrix with det . Let denote the row of . If a matrix is obtained byperforming the …
The value of is
Let be a symmetric matrix of order with integer entries. If the sum of the diagonal elements of …