Q. 94.9( 12 Votes )

Using elementary

Answer :

First of all we need to check whether the matrix is invertible or not. For that-

For the inverse of a matrix A to exist,


Determinant of A ≠ 0


Here A = (3)(7) – (2)(10) = 1


So the matrix is invertible.


Now to find the inverse of the matrix,


We know AA-1 = I


Let’s make augmented matrix-


[A : I]



Apply row operation- R2 R2 R1



Apply row operation- R1 R1/3



Apply row operation- R1 R1 - 10R2



Apply row operation- R2 3R2



The matrix so obtained is of the form –


[I : A-1]


Hence inverse of the given matrix-



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