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Matrices

Question
CBSEENMA12032911

Given straight A equals open square brackets table row cell square root of 3 end cell 1 cell negative 1 end cell row 2 3 0 end table close square brackets space and space straight B equals open square brackets table row 2 cell square root of 5 end cell 1 row cell negative 2 end cell 3 cell 1 half end cell end table close square brackets, Find A + B.

Solution

Here A, B are the same type 2 x 3
So A + B is defined
therefore space space space space space straight A plus straight B space equals space open square brackets table row cell square root of 3 plus 2 end cell cell 1 plus square root of 5 end cell cell negative 1 plus 1 end cell row cell 2 minus 2 end cell cell 3 plus 3 end cell cell 0 plus 1 half end cell end table close square brackets equals open square brackets table row cell 2 plus square root of 3 end cell cell 1 plus square root of 5 end cell 0 row 0 6 cell 1 half end cell end table close square brackets