5 Using elementary row-transformations find the inverse of each of the followingmatrices:2-5-37 - Maths - Matrices

Question

5 U sin g   e l e m e n t a r y   r o w - t r a n s f o r
m a t i o n s   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 : 2 - 5 - 3 7

Neha Sethi · Accepted Answer

Dear student
A=2-5-37We have,A=IA2-5-37=1001AR1→R121-52-37=12001AR2→R2+3R11-520-12=120321AR2→R2×-21-5201=120-3-2AR1→R1+52R21001=-7-5-3-2ASo, A-1=-7-5-3-2
Regards

5 . U sin g e l e m e n t a r y r o w - t r a n s f o r m a t i o n s 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 : 2 - 5 - 3 7

$5 . U \sin g e l e m e n t a r y r o w - t r a n s f o r m a t i o n s f i n d t h e i n v e r s e o f e a c h o f t h e f o l l o w i n g m a t r i c e s : [\begin{matrix} 2 & - 5 \\ - 3 & 7 \end{matrix}]$