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If a not equal to 6 comma b comma c satisfy open vertical bar table row a cell 2 b end cell cell 2 c end cell row 3 b c row 4 a b end table close vertical bar equals 0 comma then a b c equals

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  1. a plus b plus c    
  2. 0    
  3. b to the power of 3 end exponent    
  4. a b plus b c    

    Answer:The correct answer is: b to the power of 3 end exponentA to the power of 3 end exponent equals I
    Þ left parenthesis a minus 6 right parenthesis left parenthesis b to the power of 2 end exponent minus a c right parenthesis equals 0 rightwards double arrow b to the power of 2 end exponent minus a c equals 0, equals 3 open square brackets fraction numerator negative 1 plus square root of 3 i over denominator 2 end fraction minus fraction numerator negative 1 minus square root of 3 i over denominator 2 end fraction close square brackets equals 3 square root of 3 i
    therefore a c equals b to the power of 2 end exponent rightwards double arrow a b c equals b to the power of 3 end exponent.

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    The value of open vertical bar table row cell 1 to the power of 2 end exponent end cell cell 2 to the power of 2 end exponent end cell cell 3 to the power of 2 end exponent end cell row cell 2 to the power of 2 end exponent end cell cell 3 to the power of 2 end exponent end cell cell 4 to the power of 2 end exponent end cell row cell 3 to the power of 2 end exponent end cell cell 4 to the power of 2 end exponent end cell cell 5 to the power of 2 end exponent end cell end table close vertical bar is

    open vertical bar table row cell 1 to the power of 2 end exponent end cell cell 2 to the power of 2 end exponent end cell cell 3 to the power of 2 end exponent end cell row cell 2 to the power of 2 end exponent end cell cell 3 to the power of 2 end exponent end cell cell 4 to the power of 2 end exponent end cell row cell 3 to the power of 2 end exponent end cell cell 4 to the power of 2 end exponent end cell cell 5 to the power of 2 end exponent end cell end table close vertical bar{Operate R subscript 3 end subscript rightwards arrow R subscript 3 end subscript minus R subscript 2 end subscript,R subscript 2 end subscript rightwards arrow R subscript 2 end subscript minus R subscript 1 end subscript}
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    = open vertical bar table row 1 4 9 row 3 5 7 row 5 7 9 end table close vertical bar equals 1 left parenthesis 45 minus 49 right parenthesis minus 4 left parenthesis 27 minus 35 right parenthesis plus 9 left parenthesis 21 minus 25 right parenthesis
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