MHT CET202121 Sep 2021Morning ShiftMathematicsMatricesActual

If F( )= [ array ccc & - & 0 & & 0 0 & 0 & 1 array ] , where R , then [F( )]⁻¹

Options

AF (- )
BF(2 )
CF( )
DF (3 )

Correct answer

A. F (- )

Step-by-step solution

aligned & F( )= [ array ccc & - & 0 & & 0 0 & 0 & 1 array ] & |F( )|= ( )+ ( )= ^2 + ^2 =1 & adj [F( )]= [ array ccc & - & 0 & & 0 0 & 0 & 1 array ]^ T aligned aligned & = [ array ccc & & 0 - & & 0 0 & 0 & 1 array ]= [ array ccc (- ) & - (- ) & 0 (- ) & (- ) & 0 0 & 0 & 1 array ] & [F( )]⁻¹= adj [F( )] |F( )| =F(- ) aligned

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