List of top Mathematics Questions on Symmetric and Skew Symmetric Matrices asked in CBSE CLASS XII

For any square matrix \( A \) with real entries, if \( A + A' \) is a symmetric matrix then :

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

If \( A = \begin{bmatrix} \tan x & \cot x \\ -\cot x & \tan x \end{bmatrix} \) and \( A + A' = 2I \), then value of \( x \in [0, \pi/2] \) is

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 matrics of same order, then \( (AB - BA) \) is a

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