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Matrices

Question
CBSEENMA12034224

If space open square brackets 2 straight x space space space space 3 close square brackets space open square brackets table row 1 2 row cell negative 3 end cell 0 end table close square brackets space open square brackets table row straight x row 3 end table close square brackets equals 0 space comma space find space straight x.

Solution
open square brackets 2 straight x space space space space 3 close square brackets space open square brackets table row 1 2 row cell negative 3 end cell 0 end table close square brackets space open square brackets table row straight x row 3 end table close square brackets equals 0
rightwards double arrow open square brackets 2 straight x minus 9 space space space 4 straight x plus 0 close square brackets space equals 0
rightwards double arrow open square brackets 2 straight x squared minus 9 space space space 9 straight x plus 12 straight x close square brackets equals 0
rightwards double arrow open square brackets 2 straight x squared minus 3 straight x close square brackets equals open square brackets 0 close square brackets space space space space space space rightwards double arrow space 2 straight x squared plus 3 straight x equals 0
rightwards double arrow straight x space left parenthesis 2 straight x plus 3 right parenthesis equals 0 space space space space space space space space space space space rightwards double arrow space straight x equals 0 comma negative 3 over 2