1) If A = 5 1 and B = 3 -6

3 2 1 -3

Find:- a) A² b) determinant A c) A^t d) B^-1

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

3x + y = 9

2x - 2y = -2

b) Find the determinant of the following matrix

5 -2 3

0 4 2

3 3 4

c) If told that matrix A is a singular Matrix find the possible value(s) for x

25 5x

A = 2x 10

3) Given that f(x) = 3x - 2 g(x) = 4x + 6 and h(x) = 2x² -8

x

Find:- i) f(-5) = ii) h[f(2)] = iii) f[g(-1)] =

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

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

2x - 4

5. Two numbers when multiplied equals 36.

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) 2x ² - 6x - 20 = 0 b) 6x² - 5x - 6 = 0

7. Find the equation of the line joining the points (2, 6) and (-2, 0)

8. Find the equation of the line passing through the point (4, 5) and

perpendicular to the line 3y = 7 - 4x