If $straight A equals open square brackets table row 2 3 cell negative 4 end cell row 1 0 6 row cell negative 2 end cell 1 5 end table close square brackets comma space straight B equals open square brackets table row 5 1 2 row 6 cell negative 1 end cell 4 row 5 3 cell negative 4 end cell end table close square brackets$ , find 2A - 3B.

Solution

Here
$straight A equals open square brackets table row 2 3 cell negative 4 end cell row 1 0 6 row cell negative 2 end cell 1 5 end table close square brackets comma space straight B equals open square brackets table row 5 1 2 row 6 cell negative 1 end cell 4 row 5 3 cell negative 4 end cell end table close square brackets therefore space space space space space 2 straight A equals straight A equals open square brackets table row 4 6 cell negative 8 end cell row 2 0 12 row cell negative 4 end cell 2 10 end table close square brackets comma space straight B equals open square brackets table row 15 3 6 row 18 cell negative 3 end cell 12 row 15 9 cell negative 12 end cell end table close square brackets therefore space space space 2 straight A minus 3 straight B space equals space open square brackets table row 4 6 cell negative 8 end cell row 2 0 12 row cell negative 4 end cell 2 10 end table close square brackets comma space straight B equals open square brackets table row 15 3 6 row 18 cell negative 3 end cell 12 row 15 9 cell negative 12 end cell end table close square brackets space space space space space space space space space space space space space space space equals space space open square brackets table row cell 4 minus 15 end cell cell 6 minus 3 end cell cell negative 8 minus 6 end cell row cell 2 minus 18 end cell cell 0 plus 3 end cell cell 12 minus 12 end cell row cell negative 4 minus 15 end cell cell 2 minus 9 end cell cell 10 plus 12 end cell end table close square brackets comma equals open square brackets table row cell negative 11 end cell 3 cell negative 14 end cell row cell negative 16 end cell 3 0 row cell negative 19 end cell cell negative 7 end cell 22 end table close square brackets$

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Matrices

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