Question

The system of equation AX = B has no solution if______________
A. Rank of (A) not equal to Rank of (AB)
B. Rank of (A) equal to Rank of (AB)
C. cannot say
D. None​

Answer 1

Answer:

option A

If rank of A and rank of AB is not equal then it is to be considered as the equation have no solutions

Answer 2

Answer:

The system of equation AX = B has no solution if_ option A

Step-by-step explanation:

• Rank is defined as the number of the non zero rows or the colomn in the matrix.
• The rank of the matrix can be equal to number of the rows or colomn and less than it.
• For the no solution, Rank of the matrix should be not equal to the rank of the augumented matrix.
• Rank A $\neq$ Rank Aug