Question

$Solve space for space straight x space andy comma space given space that open square brackets table row 2 cell negative 3 end cell row 1 1 end table close square brackets space open square brackets table row straight x row straight y end table close square brackets equals open square brackets table row 1 row 3 end table close square brackets$

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Solution

open square brackets table row 2 cell negative 3 end cell row 1 1 end table close square brackets space open square brackets table row straight x row straight y end table close square brackets equals open square brackets table row 1 row 3 end table close square brackets rightwards double arrow open square brackets table row cell 2 straight x space minus space 3 straight y end cell row cell straight x plus space space straight y end cell end table close square brackets equals open square brackets table row 1 row 3 end table close square brackets By space definition space of space equality space of space matrices comma space space 2 straight x space – space 3 space straight y space equals space 1 space space space space... left parenthesis 1 right parenthesis space space straight x space plus space straight y space equals space 3 space space space space... left parenthesis 2 right parenthesis space space Multiplying space left parenthesis 1 right parenthesis space by space 1 space and space left parenthesis 2 right parenthesis space by space 3 comma space we space get comma space space 2 space space space space. straight x space – space 3 space straight y space equals space 1 space space 3 space space space space. straight x space plus space 3 space straight y space equals space 9 space space Adding comma space 5 straight x space equals space 10 space rightwards double arrow space straight x space equals space 2 space space therefore space from space left parenthesis 2 right parenthesis comma space 2 space plus straight y space equals space 3 space rightwards double arrow space straight y space equals space 1 space. space space therefore space we space have space straight x space equals space 2 comma space straight y space equals space 1.

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Matrices

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