Match List - I with List - II. If $A=\left|\begin{array}{rrr}3 & -2 & 3 \\ 2 & 1 & -1 \\ 4 & -3 & 2\end{array}\right|$
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List - I |
List - II |
|
(A) $M_{23}$ |
(I) -17 |
|
(B) $A_{32}+a_{13}$ |
(II) -1 |
|
(C) $A$ |
(III) 0 |
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(D) $a_{13} A_{12}+a_{23} A_{22}+a_{33} A_{32}$ |
(IV) 12 |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) - (A)-(II), (B)-(IV), (C)-(I), (D)-(III)
(A) $M_{23}=\begin{vmatrix}3&-2\\4&-3\end{vmatrix}=-1$ (II)
(B) $A_{32}+a_{13}=(-1)^5\begin{vmatrix}3&3\\2&-1\end{vmatrix}+3=12$ (IV)
(C) $A=3\begin{vmatrix}1&-1\\-3&2\end{vmatrix}+2\begin{vmatrix}2&-1\\4&2\end{vmatrix}+3\begin{vmatrix}2&1\\4&-3\end{vmatrix}=-17$ (I)
(D) $a_{13} A_{12}+a_{23} A_{22}+a_{33} A_{32}=0$ (III)