Question

[10 0110 01 cool Use elementary matrices to find the inverse of A = 0 1 0 || 01b || 0 1 0 , C+0. A-1 = Loa illo o illooi]

Answer 1

[1 оогоосоо(1 оо гсоо1 Аа о.о от Бето - от "ь || о то o a 1 Too 15 оо 1 ] [ca ab+][oot Гc o o 7 | p. a A ab+1] exists det (A)= (ab+1) ab = c to

The inverse of an elementory operation matrix is I the operation that reverses the elementary operations I 1) subtract ar from R3 2) subtract bR3 from Re 3) . Multiply Ri by / And we will now apply. These transformations to The identity matrix to find inverse of A • lo abrl-bl 0-9 1J 10-a ! ryc 0 01 liter > o abti -bl= A. Teoorbcool pi 007 Justification AA = 0. 1b lo abt 1 b o lol 10 a abuso a 111001

The inverse of an elementory operation matrix is I the operation that reverses the elementary operations I 1) subtract ar from R3 2) subtract bR3 from Re 3) . Multiply Ri by / And we will now apply. These transformations to The identity matrix to find inverse of A • lo abrl-bl 0-9 1J 10-a ! ryc 0 01 liter > o abti -bl= A. Teoorbcool pi 007 Justification AA = 0. 1b lo abt 1 b o lol 10 a abuso a 111001