Which one of the following options is incorrect? For a square matrix A in the matrix equation AX = B. Option 1: If |A| ≠ 0, then there exists a unique solution Option 2: If |A| = 0 and (adj A)B ≠ 0 then there is no solution Option 3: If |A| ≠ 0 and (adj A)B ≠ 0 then there is no solution Option 4: If |A| = 0 and (adj A)B = 0 then system has infinitely many solutions

The answer is 'If |A| ≠ 0 and (adj A)B ≠ 0 then there is no solution'. View full solution:

CUET Mathematics - Which one of the following options is incorrect? For a square matrix A in the matrix equation AX = B. | PYQs + Solutions

CUET Mathematics 2023 23 May Shift 3

Algebra

Medium

If $|A| \neq 0$ , then there exists a unique solution

If $|A| = 0$ and (adj A)B $\neq$ 0 then there is no solution

If $|A| \neq 0$ and (adj A)B $\neq$ 0 then there is no solution

If $|A| = 0$ and (adj A)B = 0 then system has infinitely many solutions

✅ Correct Option: 3