Matrices Exercise

1. Give an example of:

a. A 2 X 3 matrix
b. A singular matrix
c. An identity matrix for adding
d. A matrix with a determinant of 4
e. Two matrices that cannot be multiplied together
f. Two matrices that cannot be added together
g. A 2 X 2 matrix and its multiplicative inverse.

If A = , B = , C = , D = 

2.
 What is the order of:
a.
 A?
b.
 D?
c.
 AB?
3.
 Calculate:
a.
 3A
b.
 -2B
c
 -C
4.
 Calculate:
a.
 A + B
b.
 B − A
c.
 C + D
5.
 Calculate:
a.
 A − B
b.
 C − D
c.
 D − C
6.
 Calculate:
a.
 AC
b.
 BD
c.
 BC

7. Calculate

a.
b.

8. Calculate

a.
b.

9. Calculate

a.
b.

10. Calculate

a.
b.