Question

$If space open square brackets table row 1 cell space space space 1 end cell cell space space minus 2 end cell row 2 cell space space 1 end cell cell space space minus 3 end cell row 5 cell space space 4 end cell cell space space minus 9 end cell end table close square brackets space space Find space open vertical bar space straight A space close vertical bar$

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Solution

space straight A equals open square brackets table row 1 cell space space space 1 end cell cell space space minus 2 end cell row 2 cell space space 1 end cell cell space space minus 3 end cell row 5 cell space space 4 end cell cell space space minus 9 end cell end table close square brackets space space therefore space space open vertical bar space straight A space close vertical bar space space equals space space open square brackets table row 1 cell space space space 1 end cell cell space space minus 2 end cell row 2 cell space space 1 end cell cell space space minus 3 end cell row 5 cell space space 4 end cell cell space space minus 9 end cell end table close square brackets space space space equals 1 space open vertical bar table row 1 cell space space minus 3 end cell row 4 cell space space minus 9 end cell end table close vertical bar space minus 1 space open vertical bar table row 2 cell space minus 3 end cell row 5 cell space minus 9 end cell end table close vertical bar plus left parenthesis negative 2 right parenthesis space open vertical bar table row 2 cell space space 1 end cell row 5 cell space space 4 end cell end table close vertical bar space space space space space space space space space space space space space space equals space 1 left parenthesis negative 9 plus 12 right parenthesis minus 1 left parenthesis negative 18 plus 15 right parenthesis minus 2 left parenthesis 8 minus 5 right parenthesis space space space space space space space space space space space space space space equals space 1 left parenthesis 3 right parenthesis minus 1 left parenthesis negative 3 right parenthesis minus 2 left parenthesis 3 right parenthesis space equals 3 plus 3 minus 6 equals 0 space space space

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