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Question

Given A=[2620],B=[3240]andC=[4002] Find the matrix X such that
A + 2X = 2B + C.

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Solution

Given A=[2620],B=[3240]andC=[4002]
N o w space A plus 2 X equals 2 B plus C open square brackets table row 2 cell negative 6 end cell row 2 0 end table close square brackets plus 2 X equals 2 open square brackets table row cell negative 3 end cell 2 row 4 0 end table close square brackets plus open square brackets table row 4 0 row 0 2 end table close square brackets open square brackets table row 2 cell negative 6 end cell row 2 0 end table close square brackets plus 2 x equals open square brackets table row cell negative 6 end cell 4 row 8 0 end table close square brackets plus open square brackets table row 4 0 row 0 2 end table close square brackets open square brackets table row 2 cell negative 6 end cell row 2 0 end table close square brackets plus 2 X equals open square brackets table row cell negative 2 end cell 4 row 8 2 end table close square brackets 2 X equals open square brackets table row cell negative 2 end cell 4 row 8 2 end table close square brackets minus open square brackets table row 2 cell negative 6 end cell row 2 0 end table close square brackets 2 X equals open square brackets table row cell negative 4 end cell 10 row 6 2 end table close square brackets X equals open square brackets table row cell negative 2 end cell 5 row 3 1 end table close square brackets


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