If the matrix $A = \begin{bmatrix}a & 3 & b\\ c & 0 & -1\\ -2 & 1 & 0\end{bmatrix}$ is skew-symmetric, then $4a+3b+2c$ is equal to

If the matrix $\begin{bmatrix} 5 & x^2 \\ 3x-2 & x-1 \end{bmatrix}$ is symmetric, then values of $x$ are :

If A is an invertible symmetric matrix, then A⁻¹ is

Which of the following are correct?

(A) If A and B are symmetric matrices such that AB = BA, then AB is symmetric.

(B) If A and B are symmetric matrices of the same order, then (A+B) is a symmetric matrix.

(C) If A and B are symmetric matrices of the same order, then (AB-BA) is a symmetric matix.

(D) If A and B are symmetric matrices of the same order, then (AB+BA) is a skew symmetric matrix

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Match List - I with List - II.

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The matrix X for which $\begin{bmatrix}5 & 4\\1 & 1\end{bmatrix}X=\begin{bmatrix}1 & -2\\1 & 3\end{bmatrix}$ is

If $A=[a_{ij}]_{3\times3}$ and $a_{ij}=2i-j$, then

Match List-I with List-II

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