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Question

If 3X + 2Y = I and 2X - Y = O, where I and O  are unit and null matrices of order 3 respectively, then
  1. X=(17),Y=(27)
  2. X=(27)I,Y=(17)I
  3. X=(27),Y=(17)
  4. X=(17)I,Y=(27)I


Solution

The correct option is D X=(17)I,Y=(27)I
3X+2Y=I2XY=03X+2Y=I4X2Y=07X=IX=17I
(Solving simultaneously)
Therefore from (i), 2Y=I37I=47IY=27I

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