Teaching BPSC 4.0 बिहार उच्च माध्यमिक शिक्षक भर्ती (PGT) Mock Test Mathematics Determinants Application of Determinants
Consider the below statements -
(i) For a matrix system AX = B, there will be a unique solution only iff |A| ≠ 0.
(ii) A system of equations will always be inconsistent if |A| = 0.
(iii) If |A| = 0 and (adjA)B = 0, then the system will have infinite solutions.
(iv) For consistency |A| will always be non-zero.
Then which of the following statements are true?
1
(ii) and (iii)
2
(i) and (iii)
3
(i) and (ii)
4
(i) and (iv)