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Question

If the inverse of the matrix

A=122212221 is 1532223α223,

then the value of α is 
  1. 3
  2. 4
  3. 2
  4. 2


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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