Let A = $open square brackets table row 2 4 row 3 2 end table close square brackets comma space straight B equals open square brackets table row 1 3 row cell negative 2 end cell 5 end table close square brackets$
Find each of the following : (i) AB (ii) BA

Solution

A equals open square brackets table row 2 4 row 3 2 end table close square brackets comma space straight B equals open square brackets table row 1 3 row cell negative 2 end cell 5 end table close square brackets

left parenthesis straight i right parenthesis space space space AB equals open square brackets table row 2 4 row 3 2 end table close square brackets open square brackets table row 1 3 row cell negative 2 end cell 5 end table close square brackets equals open square brackets table row cell 2 minus 8 end cell cell 6 plus 20 end cell row cell 3 minus 4 end cell cell 9 plus 10 end cell end table close square brackets equals open square brackets table row cell negative 6 end cell 26 row cell negative 1 end cell 19 end table close square brackets left parenthesis ii right parenthesis space space BA equals open square brackets table row 1 3 row cell negative 2 end cell 5 end table close square brackets open square brackets table row 2 4 row 3 2 end table close square brackets equals open square brackets table row cell 2 plus 9 end cell cell 4 plus 6 end cell row cell negative 4 plus 15 end cell cell negative 8 plus 10 end cell end table close square brackets equals open square brackets table row 11 10 row 11 2 end table close square brackets

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