Match the LIST-I with LIST-II

	LIST-I		LIST-II
A.	$A = \begin{bmatrix}3 & 5\\ 5 & 2\end{bmatrix}$	I.	Scalar matrix
B.	$A = \begin{bmatrix}0 & -2\\ 2 & 0\end{bmatrix}$	II.	Upper triangular matrix
C.	$A = \begin{bmatrix}5 & 3\\ 0 & 4\end{bmatrix}$	III.	Symmetric matrix
D.	$A = \begin{bmatrix}3 & 0\\ 0 & 3\end{bmatrix}$	IV.	Skew symmetric matrix

Choose the correct answer from the options given below:

If $A = \begin{bmatrix} 1 & 0 \\ -1 & 7 \end{bmatrix}$, $I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$, then the value of k so that $A^2 = 8A + kI$ is

If the system of equations

$x - 3y + 5z = 3$

$x - 2y + 4z = 4$

$2x - 7y + \lambda z = 5$

has infinite number of solutions, then the value of $\lambda$ is:

If the system of equation

$x - y + z = 4$

$x - 2y - 2z = 9$

$2x + y + \lambda z = 1$

has a unique solution, then

If A is a square matrix such that $A^2=A$ and $I$ is identity matrix of same order, then $(2I+A)^3-19A$ 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

The maximum value of $\Delta = \begin{vmatrix}1 & \sin\theta & 1\\ -\sin\theta & 1 & \sin\theta\\ -1 & -\sin\theta & 1\end{vmatrix}$ is ($\theta$ is real number)