Question

$If space straight A equals open square brackets table row 2 4 row 3 5 end table close square brackets. space straight B equals open square brackets table row 3 2 row 4 5 end table close square brackets comma space straight C equals open square brackets table row 1 3 row 5 7 end table close square brackets$

Solution

We have
$A equals open square brackets table row 2 4 row 3 5 end table close square brackets. space straight B equals open square brackets table row 3 2 row 4 5 end table close square brackets comma space straight C equals open square brackets table row 1 3 row 5 7 end table close square brackets$
Consider 2A + B - 3C
$equals 2 open square brackets table row 2 4 row 3 5 end table close square brackets plus open square brackets table row 3 2 row 4 5 end table close square brackets minus 3 open square brackets table row 1 3 row 5 7 end table close square brackets equals space open square brackets table row 4 8 row 6 10 end table close square brackets plus open square brackets table row 3 2 row 4 5 end table close square brackets plus open square brackets table row cell negative 3 space space space space space end cell cell negative 9 end cell row cell negative 15 space space space space space end cell cell negative 21 end cell end table close square brackets equals open square brackets table row cell 4 plus 3 minus 3 space space space space space end cell cell 8 plus 2 minus 9 end cell row cell 6 plus 4 minus 15 space space space end cell cell 10 plus 5 minus 21 end cell end table close square brackets therefore space space space 2 straight A plus straight B minus 3 straight C$

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