Q70 / 170 · Manipal (MET) 2021 · Mathematics
Pick out the wrong statement. If $A$ and $B$ are square matrices of the same order, then
- A$A+B=B+A$
- B$(A B)^{\prime}=B^{\prime} A^{\prime}$
- Correct answerC$A-B=I$
- D$|A B|=|A||B|$
Solution
The only wrong statement is option(c).
$\because$ It is not necessary that $A-B=I, \forall A, B$ square matrix of same order.
Hence, the correct answer is option: 'C'.