1) If A = 5 1 and B = 3 -6
3 2 1 -3
Find:- a) A
2
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) = 2x
2
- 8
x
Find:- i) f(-5) = ii) h[f(2)] = iii) f[g(-1)] =
iv) hᴏf(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
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) 6x
2 – 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
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