Question

$Find space straight A squared space minus 5 straight A plus 6 space straight I space If space straight A space equals space open square brackets table row 2 0 1 row 2 1 3 row 1 cell negative 1 end cell 0 end table close square brackets$

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Solution

Here space space straight A space equals space open square brackets table row 2 0 1 row 2 1 3 row 1 cell negative 1 end cell 0 end table close square brackets straight A squared space equals space open square brackets table row 2 0 1 row 2 1 3 row 1 cell negative 1 end cell 0 end table close square brackets space space open square brackets table row 2 0 1 row 2 1 3 row 1 cell negative 1 end cell 0 end table close square brackets space space equals space open square brackets table row cell 4 plus 0 plus 1 end cell cell 0 plus 0 minus 1 end cell cell 2 plus 0 plus 0 end cell row cell 4 plus 2 plus 3 end cell cell space space space 0 plus 1 minus 3 space space space end cell cell 2 plus 3 plus 0 end cell row cell 2 minus 2 plus 0 end cell cell 0 minus 1 minus 0 end cell cell 1 minus 3 plus 0 end cell end table close square brackets space equals space open square brackets table row 5 cell space space minus 1 end cell cell space space space 2 end cell row 9 cell space space minus 2 end cell cell space space space 5 end cell row 0 cell space minus 1 end cell cell space minus 2 end cell end table close square brackets therefore space straight A squared space minus 5 straight A plus 61 space equals space open square brackets table row 5 cell space space minus 1 end cell cell space space space 2 end cell row 9 cell space space minus 2 end cell cell space space space 5 end cell row 0 cell space minus 1 end cell cell space minus 2 end cell end table close square brackets space minus 5 space space space open square brackets table row 2 0 1 row 2 1 3 row 1 cell negative 1 end cell 0 end table close square brackets space space plus 6 space open square brackets table row 1 cell space 0 end cell cell space 0 end cell row 0 cell space 1 end cell cell space space 0 end cell row 0 cell space 0 end cell cell space 1 end cell end table close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space open square brackets table row 5 cell space space minus 1 end cell cell space space space 2 end cell row 9 cell space space minus 2 end cell cell space space space 5 end cell row 0 cell space minus 1 end cell cell space minus 2 end cell end table close square brackets space space plus space open square brackets table row cell negative 10 end cell cell space space space space 0 end cell cell space space minus 5 end cell row cell negative 10 end cell cell space space minus 5 space space end cell cell negative 15 end cell row cell negative 5 end cell cell space space space 5 end cell cell space space space 0 end cell end table close square brackets space space plus space open square brackets table row 6 cell space space space 0 end cell cell space space 0 end cell row 0 cell space space space 6 space end cell cell space space 0 end cell row 0 cell space space space 0 end cell cell space space 6 end cell end table close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space space open square brackets table row cell 5 minus 10 plus 6 end cell cell space space space minus 1 plus 0 plus 0 end cell cell space space space space space space space 2 minus 5 plus 0 end cell row cell 9 minus 10 plus 0 space space end cell cell space space space minus 2 minus 5 plus 6 end cell cell space space space space space space space 5 minus 15 plus 0 end cell row cell 0 minus 5 plus 0 end cell cell space space space space minus 1 plus 5 plus 0 end cell cell space space space space space minus 2 plus 0 plus 6 end cell end table close square brackets space equals space open square brackets table row 1 cell negative 1 end cell cell negative 3 end cell row cell negative 1 end cell cell negative 1 end cell cell negative 10 end cell row cell negative 5 end cell 4 4 end table close square brackets

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$Find space straight A squared space minus 5 straight A plus 6 space straight I space If space straight A space equals space open square brackets table row 2 0 1 row 2 1 3 row 1 cell negative 1 end cell 0 end table close square brackets$

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