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Matrices

Question
CBSEENMA12032936
Wired Faculty App

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

Find each of the following :
(i) A + B (ii) A – B (iii) 3A – C

Solution
straight 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 comma straight C equals open square brackets table row cell negative 2 end cell 5 row 3 4 end table close square brackets left parenthesis straight i right parenthesis space straight A plus straight B equals open square brackets table row 2 4 row 3 2 end table close square brackets plus 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 plus 1 end cell cell 4 plus 3 end cell row cell 3 minus 2 end cell cell 2 plus 5 end cell end table close square brackets equals open square brackets table row 3 7 row 1 7 end table close square brackets left parenthesis ii right parenthesis space straight A minus straight B equals open square brackets table row 2 4 row 3 2 end table close square brackets minus 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 1 end cell cell 4 minus 3 end cell row cell 3 plus 2 end cell cell 2 minus 5 end cell end table close square brackets equals open square brackets table row 1 1 row 5 cell negative 3 end cell end table close square brackets left parenthesis iii right parenthesis space 3 straight A minus straight C equals 3 open square brackets table row 2 4 row 3 2 end table close square brackets minus open square brackets table row cell negative 2 end cell 5 row 3 4 end table close square brackets equals open square brackets table row 6 12 row 9 6 end table close square brackets plus open square brackets table row 2 cell negative 5 end cell row cell negative 3 end cell cell negative 4 end cell end table close square brackets space space space space space space space space space space space space space space equals open square brackets table row cell 6 plus 2 end cell cell 12 minus 5 end cell row cell 9 minus 3 end cell cell 6 minus 4 end cell end table close square brackets equals open square brackets table row 8 7 row 6 2 end table close square brackets

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