find the inverse of matrix A= [1 1 1] [ 2 -1 3] [3 2-1 ]
Answers
Answer:
Solution
A=
⎣
⎢
⎢
⎡
1
0
3
2
1
1
1
1
1
⎦
⎥
⎥
⎤
A=AI
⎣
⎢
⎢
⎡
1
0
3
2
1
1
1
1
1
⎦
⎥
⎥
⎤
=A
⎣
⎢
⎢
⎡
1
0
0
0
1
0
0
0
1
⎦
⎥
⎥
⎤
R
3
→R
3
−3R
1
⎣
⎢
⎢
⎡
1
0
0
2
1
−5
1
1
−2
⎦
⎥
⎥
⎤
=A
⎣
⎢
⎢
⎡
1
0
−3
0
1
0
0
0
1
⎦
⎥
⎥
⎤
R
3
→R
3
−5R
2
R
1
→R
1
−2R
2
⎣
⎢
⎢
⎡
1
0
0
0
1
0
−2
1
−7
⎦
⎥
⎥
⎤
=A
⎣
⎢
⎢
⎡
1
0
−8
−2
1
0
0
0
1
⎦
⎥
⎥
⎤
R
3
→
7
−1
R
3
⎣
⎢
⎢
⎡
1
0
0
0
1
0
−2
1
1
⎦
⎥
⎥
⎤
=A
⎣
⎢
⎢
⎡
1
0
7
8
−2
1
0
0
0
7
−1
⎦
⎥
⎥
⎤
R
2
→R
2
−R
3
R
1
→R
1
+2R
3
⎣
⎢
⎢
⎡
1
0
0
0
1
0
0
0
1
⎦
⎥
⎥
⎤
=A
⎣
⎢
⎢
⎡
1+
7
16
7
8
7
8
−2
1
0
7
−2
7
−1
7
−1
⎦
⎥
⎥
⎤
A
−1
=
⎣
⎢
⎢
⎡
7
25
7
8
7
8
−2
1
0
7
−2
7
−1
7
−1
⎦
⎥
⎥
⎤
Explanation: pls mark brainliest