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Question

Mathematics Question on Matrix

If f=(123456 324516)∈S6f=\begin{pmatrix} 1 & 2 & 3 & 4 & 5 & 6 \\\ 3 & 2 & 4 & 5 & 1 & 6 \end{pmatrix}\in S_6 then f-1 is

A

(123456 246751)\begin{pmatrix} 1 & 2 & 3 & 4 & 5 & 6 \\\ 2 & 4 & 6 & 7 & 5 & 1 \end{pmatrix}

B

(123456 521346)\begin{pmatrix} 1 & 2 & 3 & 4 & 5 & 6 \\\ 5 & 2 & 1 & 3 & 4 & 6 \end{pmatrix}

C

(123456 425136)\begin{pmatrix} 1 & 2 & 3 & 4 & 5 & 6 \\\ 4 & 2 & 5 & 1 & 3 & 6 \end{pmatrix}

D

(123456 631524)\begin{pmatrix} 1 & 2 & 3 & 4 & 5 & 6 \\\ 6 & 3 & 1 & 5 & 2 & 4 \end{pmatrix}

Answer

(123456 521346)\begin{pmatrix} 1 & 2 & 3 & 4 & 5 & 6 \\\ 5 & 2 & 1 & 3 & 4 & 6 \end{pmatrix}

Explanation

Solution

The correct option is (B) : (123456 521346)\begin{pmatrix} 1 & 2 & 3 & 4 & 5 & 6 \\\ 5 & 2 & 1 & 3 & 4 & 6 \end{pmatrix}.