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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


A

X=(17),Y=(27)

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B

X=(27),Y=(17)

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C

X=(17)I,Y=(27)I

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D

X=(27)I,Y=(17)I

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Solution

The correct option is C

X=(17)I,Y=(27)I


3X+2Y=I2XY=03X+2Y=I4X2Y=07X=IX=17I
(Solving simultaneously)
Therefore, 2Y=I37I=47IY=27I


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