Reference no: EM133267614

Question 1) If A = and 

Find:- a) B² b) determinant A c) Adjoint B d) A^-1

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

2x + 5y = 18
x - 3y = -2

a) Find the determinant of the following matrix

c) If told that the determinant of A = 84 find the possible value(s) for x

Question 3) Given that f(x) = 2x + 8 g(x) = (5x - 2)/4 and h(x) = (2x + 6)/x

Find:- i) f(-5) = ii) g[f(0)] = iii) f[h(3)] = iv) h?f(x) v) h^-1(x)

Question 4. Given the functions h(x) = 2x + 3/(4x - 5) find h^-1(x)

Question 5. Two numbers when multiplied equals 63.

If one number is x and the other number is greater than x by 2

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 are positive numbers, what are the values of the two original numbers?

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

a) 4x² + 10x - 24 = 0 b) 6x² - 13x + 6 = 0

Question 7. Find the equation of the line joining the points (2, -8) and (5, 6)

Question 8. Find the equation of the line passing through the point (-6, 4) and perpendicular to the line 3y = 8 + 2x