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Matrices

Question
CBSEENMA12035728

If open square brackets table row cell space 9 end cell cell space minus 1 end cell cell space space space 4 end cell row cell negative 2 end cell cell space space space 1 end cell cell space space space 3 end cell end table close square brackets space equals space straight A plus open square brackets table row 1 cell space space 2 end cell cell negative 1 end cell row 0 cell space 4 end cell 9 end table close square brackets comma then find the matrix A. 

Solution
open square brackets table row cell space 9 end cell cell space minus 1 end cell cell space space space 4 end cell row cell negative 2 end cell cell space space space 1 end cell cell space space space 3 end cell end table close square brackets space equals space straight A plus open square brackets table row 1 cell space space 2 end cell cell negative 1 end cell row 0 cell space 4 end cell 9 end table close square brackets
rightwards double arrow space space space space straight A space equals space open square brackets table row cell space 9 end cell cell space minus 1 end cell cell space space space 4 end cell row cell negative 2 end cell cell space space space 1 end cell cell space space space 3 end cell end table close square brackets space minus space open square brackets table row 1 cell space space 2 end cell cell space minus 1 end cell row 0 cell space space 4 end cell cell space 9 end cell end table close square brackets
rightwards double arrow space space space space straight A space equals space open square brackets table row cell 9 minus 1 end cell cell space space minus 1 minus 2 end cell cell space space space 4 plus 1 end cell row cell negative 2 minus 0 end cell cell space space space space space 1 minus 4 space end cell cell space space 3 minus 9 end cell end table close square brackets
rightwards double arrow space space space straight A space equals space open square brackets table row 8 cell space minus 3 end cell cell space space space space 5 end cell row cell negative 2 end cell cell space space space 3 end cell cell space minus 6 end cell end table close square brackets

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