Mathmatics
If A = -5 1 and B = 3 -6
3 2 2 -3
Find:- a) A2 b) determinant A c) AT d) B-1 (5 marks)
Using matrix method solve the following simultaneous equations
5x + y = 9
2x – 2y = 6 (8 marks)
Find the determinant of the following matrix
4 -2 3 (4 marks)
0 3 2 5 -2 7
c) If told that |A| = 48 what are the possible value(s) for x
3x 4x
A = 3 2x ( 4 marks)
Given that f(x) = 2x + 5 g(x) = 2x – 6 and h(x) = x2 – 5 x
Find:- i) f(-4) = ii) h[f(-6)] = iii) f[g(-2)] = iv) hᴏf(x) v) g-1(x) = (2, 3, 3,4, 4 marks)
Given the functions g(x) = 5x + 1 find g-1(x)
2x – 6 (5 marks)
Two numbers when multiplied equals 63.
one number is x and the other number is 2 less than x
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) The two number are positive numbers, what are their possible values.
(10 marks)
Solve the following quadratic equations ( hint use the quadratic formula)
a) 2×2 – x – 6 = 0 b) 6×2 + 7x – 5 = 0 (5 Marks)
Find the equation of the line joining the points (4, 9) and (-1, 0)
(5 marks)
Find the equation of the line passing through the point (-2, 7) and
perpendicular to the line 3y = 8 – 4x (5 marks)
