NCERT Class 12-Mathematics: Exemplar Chapter – 3 Matrices Part 19 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 51:

If possible, using elementary row transformations, find the inverse of the following matrices


For getting the inverse of the given matrix A by row elementary operations we may write the given matrix as

So, the inverse of A is


Since, second row of the matrix A on LHS is containing all zeroes, so we can say that inverse of matrix A does not exist.


Hence, is the inverse of given matrix A.

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