IYMS1001 – Improving Your Math Skills 
Tutorial Assignment 2 (40%)

Please show your working for the following questions using Microsoft Word’s Equations:

⦁ If A = -5 1 and B = 3 -6
⦁ 2 2 -3

Find:- a) A2 b) determinant A c) AT d) B-1 (5 marks)

⦁ a) 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
⦁ 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
⦁ Represent the information given in equation form
⦁ Express as a quadratic equation
⦁ Solve the quadratic equation to find possible values for x
⦁ 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)
8. Find the equation of the line passing through the point (-2, 7) and
perpendicular to the line 3y = 8 – 4x (5 marks)