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Question

If 3x+2y=I and 2xy=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 B x=(17)I,y=(27)I
We have,
3x+2y=I ...(i)
2xy=O ....(ii)
On multiplying equation (ii) by 2, we get
4x2y=2O=O ...(iii)
On adding equations (i) and (iii), we get
3x+2y=I
4x2y=O
____________
7x=I
x=I7 or 17I
From equation (i), we get
2y=I37I=47I
y=27I

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