If $open square brackets table row cell straight x plus 2 straight y end cell cell 3 straight y end cell row cell 4 straight x end cell 2 end table close square brackets equals open square brackets table row 0 cell negative 3 end cell row 8 2 end table close square brackets$ find the values of x and y.

Solution

We are given that $open square brackets table row cell straight x plus 2 straight y end cell cell 3 straight y end cell row cell 4 straight x end cell 2 end table close square brackets equals open square brackets table row 0 cell negative 3 end cell row 8 2 end table close square brackets$

From the definition of equality of matrices, we have
x+ 2y = 0        -(I)
3.y= – 3    ...(2)
4 x =8     ...(3)
From (2),    y = – 1
From (3).    x = 2
Also (1) is satisfied for ,x = 2. y = – 1 we have x = 2. y= – 1

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Matrices

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