Question

If p(A)=p([A\B]),then the system AX=B of linear equations is
(1)consistent and has unique solution
(2)consistent
(3)consistent and has infinitely many solution
(4)inconsistent​

Answer 1

Answer:

3) consistent and has infinitely many solutions

Answer 2

If p(A) = p(A/B), then the system AX=B of linear equations is consistent. (Option 2)

• If the rank of the matrix is the same as the rank of the augmented matrix, then the system is consistent.
• Further, it can have a unique answer or a limitless quantity of answers relying on whether or not the rank is the same to lesser than the number of unknowns respectively.
• If a system has at least one answer, it's far stated to be consistent.
• If a consistent system has precisely one answer, it's far independent.
• If a consistent system has a limitless quantity of answers, it is dependent.