List of top Mathematics Questions on Symmetric and Skew Symmetric Matrices

If $A = \begin{bmatrix} 0 & 5 & 3 \\ -1 & 2 & c \\ 1 & a & b \end{bmatrix}$ is a symmetric matrix, then the value of $3a + b + c$ is:

If A and B are skew-symmetric matrices of same order, then \( AB' + BA' \) is a/an :

If \[ A = \begin{bmatrix} 1 & a & b \\ -1 & 2 & c \\ 0 & 5 & 3 \end{bmatrix} \] is a symmetric matrix, then the value of \(3a + b + c\) is

If $A$ and $B$ are symmetric matrices of the same order, then $AB - BA$ is: