Match the LIST-I with LIST-II

	LIST-I Characteristic of square matrix		LIST-II Type of matrix
A.	A is a square matrix such that $A + A^T = 0$.	I.	Identity matrix or scalar matrix
B.	B is a square matrix such that $B^2 = B$	II.	Diagonal matrix
C.	C is a square matrix with all equal diagonal element and all the non-diagonal elements are zero.	III.	Skew symmetric matrix
D.	D is a matrix such that all the non-diagonal elements are zero.	IV.	Idempotent matrix

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The length ($x$) and breadth ($y$) of plot satisfy equations:

Let $A=\begin{bmatrix}1 & 0 \\ -1 & 7\end{bmatrix}$ and $B=\begin{bmatrix}0 & 4 \\ -1 & 7\end{bmatrix}$ then

Match List-I with List-II

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If $A^{-1}$ exists for the matrix $A = \begin{bmatrix} 1 & \lambda & -1 \\ -1 & 1 & 0 \\ \lambda & 1 & 1 \end{bmatrix}$ then

If A is a square matrix of order 3 such that $|A| = 3$, then $|adj(adj A)|$ is equal to:

If $A = \begin{bmatrix}1 & -1 \\ 2 & -1\end{bmatrix}$, $B = \begin{bmatrix}a & 1 \\ b & -1\end{bmatrix}$ and $(A + B)^2 = A^2 + B^2$ then

If $A=\begin{bmatrix}1 & 1 & 1\\1 & 0 & 3\\1 & -2 & 1\end{bmatrix}$, then

Match List-I with List-II

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