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Question

What is the inverse of the matrix [3251]
  1. [3521]
  2. 17[3521]
  3. 17[1253]
  4. 17[1253]


Solution

The correct option is D 17[1253]
It is always possible to find the inverse of a matrix by cofactor method. But for 2×2 matrix there is a short cut method.
So for a 2×2 matrix of the form[abcd], to find the inverse.
1) Swap the positions of a and d.
2) take negatives of b and c
3) divide everything by determinant of the matrix.
Inverse of the given matrix.
[3251]1=17[1253]=17[1253]
                         
 

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