Match List-I with List-II
|
List-I (Matrix) |
List-II (Determinant) |
|
(A) $\begin{bmatrix}1&7\\-3&5\end{bmatrix}$ |
(I) 24 |
|
(B) $\begin{bmatrix}-2&5\\-3&-3\end{bmatrix}$ |
(II) 32 |
|
(C) $\begin{bmatrix}-12&8\\-16&8\end{bmatrix}$ |
(III) 21 |
|
(D) $\begin{bmatrix}15&9\\-21&-11\end{bmatrix}$ |
(IV) 26 |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (A)-(IV), (B)-(III), (C)-(II), (D)-(I)
|
List-I (Matrix) |
List-II (Determinant) |
|
(A) $\begin{bmatrix}1&7\\-3&5\end{bmatrix}$ |
(IV) 26 |
|
(B) $\begin{bmatrix}-2&5\\-3&-3\end{bmatrix}$ |
(III) 21 |
|
(C) $\begin{bmatrix}-12&8\\-16&8\end{bmatrix}$ |
(II) 32 |
|
(D) $\begin{bmatrix}15&9\\-21&-11\end{bmatrix}$ |
(I) 24 |
(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