Question
If A is a skew-symmetric matrix, then ${A^2}$ is a …………..
Matrices — Class 12 Maths Solution
Step-by-step Solution
If A is a skew-symmetric matrix, then ${A^2}$ is a symmetric matrix.
$\therefore$ ${\left( {{A^2}} \right)^\prime } = {\left( {{A^\prime }} \right)^2}$
$= {( - A)^2}$
$= {A^2}$
Therefore, ${A^2}$ is a symmetric matrix.
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Matrices. Curated by Sachin Sharma. Free for all students.