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Matrices

Question
CBSEENMA12032923

If straight A equals open square brackets table row 1 4 cell negative 1 end cell row 2 6 5 end table close square brackets space and space straight B equals open square brackets table row 3 cell negative 2 end cell cell negative 6 end cell row 2 0 cell negative 7 end cell end table close square brackets, find A + B and A - B.

Solution
straight A equals open square brackets table row 1 4 cell negative 1 end cell row 2 6 5 end table close square brackets comma space space space straight B equals open square brackets table row 3 cell negative 2 end cell cell negative 6 end cell row 2 0 cell negative 7 end cell end table close square brackets

therefore space space space straight A plus straight B equals straight A equals open square brackets table row 1 4 cell negative 1 end cell row 2 6 5 end table close square brackets plus open square brackets table row 3 cell negative 2 end cell cell negative 6 end cell row 2 0 cell negative 7 end cell end table close square brackets equals open square brackets table row cell 1 plus 3 end cell cell 4 minus 2 end cell cell negative 1 minus 6 end cell row cell 2 plus 2 end cell cell 6 plus 6 end cell cell 5 minus 7 end cell end table close square brackets
space
space space space space space space space space space space space space space space space space space space space equals space open square brackets table row 4 2 cell negative 7 end cell row 4 6 cell negative 2 end cell end table close square brackets

space space space straight A minus straight B equals straight A equals open square brackets table row 1 4 cell negative 1 end cell row 2 6 5 end table close square brackets minus plus open square brackets table row 3 cell negative 2 end cell cell negative 6 end cell row 2 0 cell negative 7 end cell end table close square brackets equals open square brackets table row cell 1 minus 3 end cell cell 4 plus 2 end cell cell negative 1 plus 6 end cell row cell 2 minus 2 end cell cell 6 minus 0 end cell cell 5 plus 7 end cell end table close square brackets space
space space
space space space space space space space space space space space space space space space space space space equals space open square brackets table row cell negative 2 end cell 6 5 row 0 6 12 end table close square brackets