1) If A = 2 -1 and B = 1 -2

7 0 3 -3

Find:- a) AB b) determinant B c) adjoint B d) A^-1

2) a) Using matrix method solve the following simultaneous equations

2x + 2y = 2

3x - 2y = 13

b) Find the determinant of the following matrix

3 -2 2

-1 5 1

0 7 3

c) If told that |A| = 18 find the possible value(s) for x

3x x

A = 4x 2x

3) Given that f(x) = 3x - 5 g(x) = 2x - 3 and h(x) = 3x² - 8 x Find:- i) f(-2) = ii) g[f(5)] = iii) f[g(3)] =

iv) hf(x) v) g^-1(x) =

4. Given the functions h(x) = 3x + 4 find h^-1(x)

2x - 6

5. Two numbers when multiplied equals 104.

one number is x and the other number is greater than x by 5

a) Represent the information given in equation form.

b) Express as a quadratic equation

c) Solve the quadratic equation to find possible values for x

d) If told that the two number were positive, give the values of the two

original numbers.

6. Solve the following quadratic equations ( hint use the quadratic formula)

a) 2x² - 5x - 12 = 0 b) 6x² + 5x - 6 = 0

7. Find the equation of the line joining the points (4, 1) and (1, 9)

8. Find the equation of the line passing through the point (-2, 7) and

perpendicular to the line 3y = 12 - 2x