FIND THE INEVERSE OF A = [1 1 1 I 1 2 3| 1 4 9]
Answers
Answered by
2
Answer:
search-icon-image
Class 12
>>Maths
>>Matrices
>>Inverse of a Matrix
>>Find the inverse of [ 1 3 3 | 1 4 3
Question
Bookmark
Find the inverse of
⎣
⎢
⎢
⎡
1
1
1
3
4
3
3
3
4
⎦
⎥
⎥
⎤
by column transformation
Medium
Solution
verified
Verified by Toppr
Take A=AI
⎣
⎢
⎢
⎡
1
1
1
3
4
3
3
3
4
⎦
⎥
⎥
⎤
=A
⎣
⎢
⎢
⎡
1
0
0
0
1
0
0
0
1
⎦
⎥
⎥
⎤
c
2
→c
2
−3c
1
and c
3
→c
3
−3c
1
⎣
⎢
⎢
⎡
1
1
1
0
1
0
0
0
1
⎦
⎥
⎥
⎤
=A
⎣
⎢
⎢
⎡
1
0
0
−3
1
0
−3
0
1
⎦
⎥
⎥
⎤
c
1
→c
1
−c
2
⎣
⎢
⎢
⎡
1
0
1
0
1
0
0
0
1
⎦
⎥
⎥
⎤
=A
⎣
⎢
⎢
⎡
4
−1
0
−3
1
0
−3
0
1
⎦
⎥
⎥
⎤
c
1
→c
1
−c
3
⎣
⎢
⎢
⎡
1
0
0
0
1
0
0
0
1
⎦
⎥
⎥
⎤
=A
⎣
⎢
⎢
⎡
7
−1
−1
−3
0
0
−3
0
1
⎦
⎥
⎥
⎤
∴A
−1
=
⎣
⎢
⎢
⎡
7
−1
−1
−3
0
0
−3
0
1
⎦
⎥
⎥
⎤
Step-by-step explanation:
Hope my answer help you ppz mark me as brainlist
Similar questions