If $open square brackets table row cell straight x minus 2 straight y end cell cell negative straight y end cell row cell 3 straight x end cell 4 end table close square brackets equals open square brackets table row cell negative 4 end cell 3 row 6 4 end table close square brackets$ find the values of .x and y.

Solution

We are given that $open square brackets table row cell straight x minus 2 straight y end cell cell negative straight y end cell row cell 3 straight x end cell 4 end table close square brackets equals open square brackets table row cell negative 4 end cell 3 row 6 4 end table close square brackets$

From the definition of equality of matrices, we have
x + 2y= 4    ...(1)
– y = 3    ...(2)
3 x = 6    ...(3)
From (2).    y = –3
From (3),    x = 2
Also (1) is satisfied for x = 2, y = – 3 we have x = 2, y = – 3

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Matrices

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