Determinants Matrices Question 112
Question: The element $ a _{ij} $ of square matrix is given by $ a _{ij}=(i+j)(i-j) $ , then matrix A must be
Options:
A) Skew-symmetric matrix
B) Triangular matrix
C) Symmetric matrix
D) Null matrix
Show Answer
Answer:
Correct Answer: A
Solution:
- [a] We have $ a _{ji}=(j+i)(j-i)=-(i+j)(i-j)=-a _{ij} $ Hence, matrix is skew -symmetric.
BETA
