Question

$If space straight A equals open square brackets table row 1 2 row 2 1 end table close square brackets comma space then space show space that space space space straight A squared space – space 3 space straight I space equals space 2 straight A.$

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Solution

straight A equals open parentheses table row 1 2 row 2 1 end table close parentheses straight A squared equals space open parentheses table row 1 2 row 2 1 end table close parentheses space equals open parentheses table row cell 1 plus 4 end cell cell space 2 plus 2 end cell row cell 2 plus 2 end cell cell space 4 plus 1 end cell end table close parentheses equals open parentheses table row 5 4 row 4 5 end table close parentheses straight L. straight H. straight S space space space space space space space space space straight A squared minus 3 straight I space equals open parentheses table row 5 4 row 4 5 end table close parentheses minus 3 space open parentheses table row 1 0 row 0 1 end table close parentheses equals open parentheses table row 5 4 row 4 5 end table close parentheses plus open parentheses table row cell negative 3 end cell 0 row 0 3 end table close parentheses 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 space space space space space equals open parentheses table row cell 5 minus 3 end cell cell 4 plus 0 end cell row cell 4 plus 0 end cell cell 5 minus 3 end cell end table close parentheses space equals space open parentheses table row 2 4 row 4 2 end table close parentheses space space space equals 2 space open parentheses table row 1 2 row 2 1 end table close parentheses equals 2 straight A 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 space space space space space space space space space space space space space space space equals straight R. straight H. straight S

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$If space straight A equals open square brackets table row 1 2 row 2 1 end table close square brackets comma space then space show space that space space space straight A squared space – space 3 space straight I space equals space 2 straight A.$

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