Question

# If 3X + 2Y = I and 2X - Y = O, where I and O  are unit and null matrices of order 3 respectively, thenX=(17),Y=(27)X=(27)I,Y=(17)IX=(27),Y=(17)X=(17)I,Y=(27)I

Solution

## The correct option is D X=(17)I,Y=(27)I3X+2Y=I2X−Y=0⇒3X+2Y=I4X−2Y=0⇒7X=IX=17I (Solving simultaneously) Therefore from (i), 2Y=I−37I=47I⇒Y=27I

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