1. a. e.g. and its additive inverse .
b. The identity element for addition is .
c. e.g. and its inverse .
d. The identity matrix for multiplication is .
If A = , B = , C = , D =
2. a. b. c. That 2 X 2 matrix multiplication is NOT commutative. 3. a. b. c, That 2 X 2 matrix multiplication is associative. 4. a. 2 b. -17 c. -3 5. a. b. c.
a. b. c.
7. a. =
b. is the identity 2 X 2 matrix for multiplication.
8. (i) Determinant of R = 1
(ii) Inverse of R =
9.(i) Determinant of A = 1
(ii) The inverse of A =
(iii) AB =
This matrix is the identity 2 X 2 matrix for multiplication.