Question

Using elementary transformations, find the inverse Or
of the matix 6 1
2 4

Answer 1

Answer:

Given matrix is A=[1221]

Now we will use elementary transformation to find the inverse of given matrix

First step is to write the identity matrix at the right of given matrix

⟹[12211001]

Now, we have to start applying elementary transformations until we get Identity matrix on left side.

R1→R1−2R2

⟹[−320110−21]

R2→3R2+2R1

⟹[−300312−2−1]

R1→−3R1 and R2→3R2 

⟹[10