(2 3 -11
A: 123,
3 4 -4/
/1 0 1 -1
B:= 0 2 0 1
-1 1 0 0,
(1 3 1 1 1
C:= 2 1 1 1 2
4 2 1 0 1/
(a) Determine A-1 using the Gauss-Jordan algorithm (please no ready-made solution-
use the formula for 3 x 3 matrices and/or the determinant).
(b) Let X be € M3.4(R). Solve AX= B.
(c) Determine the dimension and a basis of ker(C).
(3 + 1 + 3 Points)
Fig: 1