Linear Algebra

1:

 In the matrix equation Px = q. which of the following is a necessary condition for the existence of at least one solution for the unknown vector x?

A. Augmented matrix [Pq] must have the same rank as matrix P
B. Vector q must have only non-zero elements
C. Matrix P must be singular
D. None of these
 

Answer : A

Explanation :
According to Rouche's theorem, the system is consistent if and only if the coefficient matrix and the augmented matrix K are of the same rank, otherwise the system is inconsistent.

Write your comments here:


Report Error
 

Option: A

Explanation : Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here.