Match List-I with List-II

Choose the correct answer from the options given below:

(A)-(IV), (B)-(III), (C)-(II), (D)-(I)

The correct answer is Option (2) → (A)-(IV), (B)-(III), (C)-(II), (D)-(I)

(A) $\begin{bmatrix}1&7\\-3&5\end{bmatrix}$

$|A|=1\times5-7(-3)=5+21=26$ → (IV)

(B) $\begin{bmatrix}-2&5\\-3&-3\end{bmatrix}$

$|B|=(-2)(-3)-5(-3)=6+15=21$ → (III)

(C) $\begin{bmatrix}-12&8\\-16&8\end{bmatrix}$

$|C|=(-12)(8)-8(-16)=-96+128=32$ → (II)

(D) $\begin{bmatrix}15&9\\-21&-11\end{bmatrix}$

$|D|=15(-11)-9(-21)=-165+189=24$ → (I)

Correct matching: A–IV, B–III, C–II, D–I