Mathematics · Determinants
Which of the following options is incorrect for a square matrix A in the matrix equation AX = B?
- 1If |A| = 0 and (adj A)B = 0, then the system has either infinitely many solutions or no solution
- 2If |A| ≠ 0 and (adj A)B ≠ 0, then there is no solution✓
- 3If |A| = 0 and (adj A)B ≠ 0, then there is no solution
- 4If |A| ≠ 0, then there exists a unique solution
Correct answer
If |A| ≠ 0 and (adj A)B ≠ 0, then there is no solution
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