Matrices Practice Questions Ques23
Question: If $A$ is a $3 \times 3$ matrix such that $A^T = -A$, what type of matrix is $A$?
Options:
(A) Symmetric
(B) Skew-symmetric
(C) Diagonal
(D) Identity
Show Answer
Answer: B
Explanation:
(A) Incorrect. A symmetric matrix satisfies $A^T = A$.
(B) Correct. A skew-symmetric matrix satisfies $A^T = -A$.
(C) Incorrect. A diagonal matrix has non-zero elements only on its main diagonal.
(D) Incorrect. An identity matrix is a diagonal matrix with ones on the main diagonal.
BETA
