find the inverse of
A=
1 2
3 4
by row transformation
Answers
Answered by
1
Answer:
1
2
−2
2
5
−4
3
7
5
⎦
⎥
⎥
⎤
⎣
⎢
⎢
⎡
1
2
−2
2
5
−4
3
7
5
∣
∣
∣
1
0
0
0
1
0
0
0
1
⎦
⎥
⎥
⎤
eliminate first column
⎣
⎢
⎢
⎡
1
0
0
2
1
0
3
1
11
∣
∣
∣
1
−2
2
0
1
0
0
0
1
⎦
⎥
⎥
⎤
eliminate second column
⎣
⎢
⎢
⎡
1
0
0
0
1
0
1
1
11
∣
∣
∣
5
−2
2
−2
1
0
0
0
1
⎦
⎥
⎥
⎤
divide third row by 11
⎣
⎢
⎢
⎡
1
0
0
0
1
0
1
1
1
∣
∣
∣
5
−2
11
2
−2
1
0
0
0
11
1
⎦
⎥
⎥
⎤
eliminate third row
⎣
⎢
⎢
⎡
1
0
0
0
1
0
0
0
1
∣
∣
∣
11
53
11
−24
11
2
−2
1
0
11
−1
11
−1
11
1
⎦
⎥
⎥
⎤
inverse of matrix
⎣
⎢
⎢
⎡
11
53
11
−24
11
2
−2
1
0
11
−1
11
−1
11
1
⎦
⎥
⎥
⎤
Similar questions