Find.v and y, if $2 space open square brackets table row 1 3 row 0 straight x end table close square brackets plus open square brackets table row straight y 0 row 1 2 end table close square brackets equals open square brackets table row 5 6 row 1 8 end table close square brackets$

Solution

The given matrix equation is :
$space space space space space space 2 space open square brackets table row 1 3 row 0 straight x end table close square brackets plus open square brackets table row straight y 0 row 1 2 end table close square brackets equals open square brackets table row 5 6 row 1 8 end table close square brackets or space space space space space open square brackets table row 2 6 row 0 cell 2 straight x end cell end table close square brackets plus open square brackets table row straight y 0 row 1 2 end table close square brackets equals open square brackets table row 5 6 row 1 8 end table close square brackets or space space space space space open square brackets table row cell 2 plus straight y space space end cell cell 6 plus 0 end cell row cell 0 plus 1 space space space end cell cell 2 straight x plus 2 end cell end table close square brackets equals open square brackets table row 5 6 row 1 8 end table close square brackets therefore space space space space space open square brackets table row cell 2 plus straight y end cell 6 row 1 cell 2 straight x plus 2 end cell end table close square brackets equals open square brackets table row 5 6 row 1 8 end table close square brackets$

By definition of equality of matrices,
2 + y= 5, 2 .x + 2 = 8
∴ y = 5-2, 2x = 8 –'2
∴y = 3, .x = 3
∴.x =- 3, y = 3.

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Matrices

Find.v and y, if $2 space open square brackets table row 1 3 row 0 straight x end table close square brackets plus open square brackets table row straight y 0 row 1 2 end table close square brackets equals open square brackets table row 5 6 row 1 8 end table close square brackets$

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