Symmetric And Skew Symmetric Matrices

Step 1: Recall the definition of symmetric matrix.
A matrix is called symmetric if
where is the transpose of matrix .
This means
for every element of the matrix.
Step 2: Compare corresponding elements.
Given matrix
For symmetry we compare elements across the main diagonal.
First pair:
Second pair:
Third pair:
Step 3: Substitute values.
Now compute
Substitute values
Step 4: Final conclusion.
Therefore the required value becomes
Final Answer: