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The inverse of the matrix open square brackets table row 3 cell negative 2 end cell row 1 4 end table close square bracketsis

Maths-General

  1. open square brackets table row cell fraction numerator 4 over denominator 14 end fraction end cell cell fraction numerator 2 over denominator 14 end fraction end cell row cell fraction numerator negative 1 over denominator 14 end fraction end cell cell fraction numerator 3 over denominator 14 end fraction end cell end table close square brackets    
  2. open square brackets table row cell fraction numerator 3 over denominator 14 end fraction end cell cell fraction numerator negative 2 over denominator 14 end fraction end cell row cell fraction numerator 1 over denominator 14 end fraction end cell cell fraction numerator 4 over denominator 14 end fraction end cell end table close square brackets    
  3. open square brackets table row cell fraction numerator 4 over denominator 14 end fraction end cell cell fraction numerator negative 2 over denominator 14 end fraction end cell row cell fraction numerator 1 over denominator 14 end fraction end cell cell fraction numerator 3 over denominator 14 end fraction end cell end table close square brackets    
  4. open square brackets table row cell fraction numerator 3 over denominator 14 end fraction end cell cell fraction numerator 2 over denominator 14 end fraction end cell row cell fraction numerator 1 over denominator 14 end fraction end cell cell fraction numerator 4 over denominator 14 end fraction end cell end table close square brackets    

    Answer:The correct answer is: open square brackets table row cell fraction numerator 4 over denominator 14 end fraction end cell cell fraction numerator 2 over denominator 14 end fraction end cell row cell fraction numerator negative 1 over denominator 14 end fraction end cell cell fraction numerator 3 over denominator 14 end fraction end cell end table close square bracketsLet A equals open square brackets table row 3 cell negative 2 end cell row 1 4 end table close square brackets rightwards double arrow vertical line A vertical line equals 14
    therefore a d j A equals open square brackets table row 4 2 row cell negative 1 end cell 3 end table close square brackets rightwards double arrow A to the power of negative 1 end exponent equals open square brackets table row cell fraction numerator 4 over denominator 14 end fraction end cell cell fraction numerator 2 over denominator 14 end fraction end cell row cell fraction numerator negative 1 over denominator 14 end fraction end cell cell fraction numerator 3 over denominator 14 end fraction end cell end table close square brackets.

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    The ad joint of open square brackets table row 1 1 1 row 1 2 cell negative 3 end cell row 2 cell negative 1 end cell 3 end table close square bracketsis

    Let, A equals open square brackets table row 1 1 1 row 1 2 cell negative 3 end cell row 2 cell negative 1 end cell 3 end table close square brackets; a d j left parenthesis A right parenthesis equals open square brackets table row cell A subscript 11 end subscript end cell cell A subscript 21 end subscript end cell cell A subscript 31 end subscript end cell row cell A subscript 12 end subscript end cell cell A subscript 22 end subscript end cell cell A subscript 32 end subscript end cell row cell A subscript 13 end subscript end cell cell A subscript 23 end subscript end cell cell A subscript 33 end subscript end cell end table close square brackets
    rightwards double arrow A subscript 11 end subscript equals 3 comma A subscript 12 end subscript equals negative 9 comma A subscript 13 end subscript equals negative 5
    A subscript 21 end subscript equals negative 4 comma A subscript 22 end subscript equals 1 comma A subscript 23 end subscript equals 3
    A subscript 31 end subscript equals negative 5 comma A subscript 32 end subscript equals 4 comma A subscript 33 end subscript equals 1
    rightwards double arrow A d j left parenthesis A right parenthesis equals open square brackets table row 3 cell negative 4 end cell cell negative 5 end cell row cell negative 9 end cell 1 4 row cell negative 5 end cell 3 1 end table close square brackets.

    The ad joint of open square brackets table row 1 1 1 row 1 2 cell negative 3 end cell row 2 cell negative 1 end cell 3 end table close square bracketsis

    maths-General
    Let, A equals open square brackets table row 1 1 1 row 1 2 cell negative 3 end cell row 2 cell negative 1 end cell 3 end table close square brackets; a d j left parenthesis A right parenthesis equals open square brackets table row cell A subscript 11 end subscript end cell cell A subscript 21 end subscript end cell cell A subscript 31 end subscript end cell row cell A subscript 12 end subscript end cell cell A subscript 22 end subscript end cell cell A subscript 32 end subscript end cell row cell A subscript 13 end subscript end cell cell A subscript 23 end subscript end cell cell A subscript 33 end subscript end cell end table close square brackets
    rightwards double arrow A subscript 11 end subscript equals 3 comma A subscript 12 end subscript equals negative 9 comma A subscript 13 end subscript equals negative 5
    A subscript 21 end subscript equals negative 4 comma A subscript 22 end subscript equals 1 comma A subscript 23 end subscript equals 3
    A subscript 31 end subscript equals negative 5 comma A subscript 32 end subscript equals 4 comma A subscript 33 end subscript equals 1
    rightwards double arrow A d j left parenthesis A right parenthesis equals open square brackets table row 3 cell negative 4 end cell cell negative 5 end cell row cell negative 9 end cell 1 4 row cell negative 5 end cell 3 1 end table close square brackets.
    General
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    chemistry-General
    General
    chemistry-

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    chemistry-General
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    General
    physics-

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    physics-General
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    physics-General
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    physics-

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    physics-General
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    maths-

    Let A equals open square brackets table row 1 0 0 row 5 2 0 row cell negative 1 end cell 6 1 end table close square brackets, then the ad joint of A is

    A equals open square brackets table row 1 0 0 row 5 2 0 row cell negative 1 end cell 6 1 end table close square brackets
    rightwards double arrow a d j left parenthesis A right parenthesis equals open square brackets table row 2 cell negative 5 end cell 32 row 0 1 cell negative 6 end cell row 0 0 2 end table close square brackets to the power of T end exponent equals open square brackets table row 2 0 0 row cell negative 5 end cell 1 0 row 32 cell negative 6 end cell 2 end table close square brackets.

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    maths-General
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    physics-

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    General
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