Question
If the matrix A is both symmetric and skew symmetric, then
- (a) A is a diagonal matrix
- (b) A is a zero matrix
- (c) A is a square matrix
- (d) None of these
Matrices — Class 12 Maths Solution
Step-by-step Solution
.:
Option b is correct
Consider the matrix A.
It is clear that , $A' = A$ and $A'$ =$-$A
$\therefore$ A =$-$A $\Rightarrow$ 2A = 0 $\Rightarrow$ A = 0
$\therefore$ A is a zero matrix.
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Matrices. Curated by Sachin Sharma. Free for all students.