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Question

If the inverse of the matrix

A=122212221 is 1532223α223,

then the value of α is

A
3
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B
4
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C
2
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D
2
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Solution

The correct option is C 2
We know that AA1=I

1512221222132223α223=100010001

Comparing a23, we get
15(4α6)=0
α=2

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