No links please Find the inverse of each of the following matrices using elementary column transformations: 3-342-340-11Ans = 1-10-23-4-23-3 - 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 :   3 - 3 4 2 - 3 4 0 - 1
1 A n s   =   1 - 1 0 - 2 3 - 4 - 2 3 - 3

Shivam Mishra · Accepted Answer

Dear Student,
Please find below the solution to the asked query:

3-342-340-11100010001Now we need to transform first matrix to identity matrixInterchange C1 and C34-334-321-10001010100C1→C1-C31-332-321-10100010-101C2→C2+C31032-121-10100010-111C3→C3-3C11002-1-41-1-310-3010-114C1→C1+2C21000-1-4-1-1-310-3210114C2→-5C210005-4-15-310-32-501-54C2→C2+C310001-4-12-31-3-32-501-14C3→C3+4C2100010-1251-3-152-5-201-10C1→C1+6C31000100251-3-152-5-201-10

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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 : 3 - 3 4 2 - 3 4 0 - 1 1 A n s = 1 - 1 0 - 2 3 - 4 - 2 3 - 3