Question
If A is skew-symmetric matrix, then ${A^2}$ is a symmetric matrix.
Correct Answer True
If A is skew-symmetric matrix, then ${A^2}$ is a symmetric matrix.
Correct Answer True
$= {[ - A]^2}$
$= {A^2}$
Hence, ${A^2}$ is symmetric matrix.
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Matrices. Curated by Sachin Sharma. Free for all students.