(2) (9 marks) Consider the following matrices A=⎣⎡121−102123⎦⎤,B=⎣⎡1011001011101002⎦⎤,C=[1232] ( Entries of
Posted: Thu Jul 14, 2022 3:55 pm
(2) (9 marks) Consider the following matrices A=⎣⎡121−102123⎦⎤,B=⎣⎡1011001011101002⎦⎤,C=[1232] ( Entries of C are from Z7 ). Note that only the entries of matrix C are in Z7. The other two matrices A and B are matrices with real numbers entries. (a) Find the inverse of all the given matrices, if they are invertible, using Guass-Jordan method? Invertibility of A : Invertibility of B Invertibility of C :
(b) Write the inverse of the given matrices as the product of elementary matrices (Find a sequence of elementary matrices whose product in a correct order is equal to inverse matrix). For A :
(b) Write the inverse of the given matrices as the product of elementary matrices (Find a sequence of elementary matrices whose product in a correct order is equal to inverse matrix). For A :