Matrices Practice Questions Ques25
Question: If $A$ is a $3 \times 3$ skew-symmetric matrix, what is the value of $a_{ii}$ (diagonal elements)?
Options:
(A) 0
(B) 1
(C) $-$ 1
(D) Any real number
Show Answer
Answer: A
Explanation:
(A) Correct. For a skew-symmetric matrix, the diagonal elements must be zero.
(B) Incorrect. Diagonal elements of a skew-symmetric matrix are not 1.
(c) Incorrect. Diagonal elements of a skew-symmetric matrix are not -1.
(D) Incorrect. Diagonal elements of a skew-symmetric matrix cannot be any real number; they must be zero.
BETA
