1. What is the
difference between empty relation and universal
relation

2. If A is an
invertible matrix of order two, then what is
the value of det(A-1)

3. Find the domain
of the functions in –1 (2x + 1)/3

4. For a system
of Equations, if IAI = 0, where A is a square
matrix. How will you examine the consistency
of the system of equations

5. If a matrix
has 8 elements, what are the possible orders
it can have?

6. State chain
rule

7. List the relation
in the set N given by R= {(a,b) : a=b-2, b>6}

8. Find the value
of tan-1 square root of 3 sec-1(-2)

9. If f(x) =
x , then what is f(0)

10. If f: R ---à
R is defined by f(x) = x/(x2 + 1).
Find f (f(2)).