Determinants Matrices Question 152
Question: If A and B are square matrices of size $ n\times n $ such that $ A^{2}-B^{2}=(A-B)(A+B) $ , then which of the following will be always true-
Options:
A) A = B
B) AB = BA
C) Either of A or B is a zero matrix
D) Either of A or B is identity matrix
Show Answer
Answer:
Correct Answer: B
Solution:
- [b] $ A^{2}-B^{2}=(A-B)(A+B) $
$ A^{2}-B^{2}=A^{2}+AB-BA-B^{2}\Rightarrow AB=BA $
BETA
