Question

Ques> using elementry transformation find the inverse of the matrix 2 3 2 4 5
3 5 6 ​

Answer 1

Step-by-step explanation:

Given matrix is A=[

1

2

2

1

]

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

⟹[

1

2

2

1

1

0

0

1

]

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

R

1

→R

1

−2R

2

⟹[

−3

2

0

1

1

0

−2

1

]

R

2

→3R

2

+2R

1

⟹[

−3

0

0

3

1

2

−2

−1

]

R

1

→

−3

R

1

and R

2

→

3

R

2

⟹[

1

0

0

1

−

3

1

3

2

3

2

−

3

1

]

Therefore the inverse of given matrix is [

−

3

1

3

2

3

2

−

3

1

]

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