No links please Find the inverse of each of the following matrices using elementary column transformations: 12313-1-11-7Ans = 18-2017-118-444-31 - Maths - Matrices

Question

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F i n d   t h e   i n v e r s e   o f   e a c h
  o f   t h e   f o l l o w i n g   m a t r i c
e s   u sin g   e l e m e n t a r y   c o l u m n
  t r a n s f o r m a t i o n s :   1 2 3 1 3 - 1 - 1 1 -
7 A n s   =   1 8 - 20 17 - 11 8 - 4 4 4 - 3 1

Neha Sethi · Accepted Answer

Dear student
A=12313-1-11-7We have, A=AI12313-1-11-7=A100010001R2→R2-R112301-4-11-7=A100-110001R3→R3+R112301-403-4=A100-110101R3→R3-3R212301-4008=A100-1104-31R1→R2-2R2101101-4008=A3-20-1104-31R3→R38101101-4001=A3-20-11012-3818R1→R1-11R310001-4001=A-52178-118-11012-3818R2→R2+4R3100010001=A-52178-1181-121212-3818Hence A-1=-52178-1181-121212-3818 A-1=18-2017-118-444-31
Regards

No links please F i n d t h e i n v e r s e o f e a c h o f t h e f o l l o w i n g m a t r i c e s u sin g e l e m e n t a r y c o l u m n t r a n s f o r m a t i o n s : 1 2 3 1 3 - 1 - 1 1 - 7 A n s = 1 8 - 20 17 - 11 8 - 4 4 4 - 3 1