) If told that matrix A is a singular Matrix find the possible value(s) for x                                                  16        4x                                A =            x           9

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 3AEXP
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c) If told that matrix A is a singular Matrix find the possible value(s) for x

                                                 16        4x

                               A =            x           9

3) Given that f(x) = 2x + 5 g(x) = 3x – 5   and h(x) = 2x + 3
                                                            2                             x
    Find:-          i) f(-4) =                      ii) g[f(2)] =                  iii) f[g(-3)] =

                                      iv) hf(x)                     v) h-1(x) =           

4. Given the functions            g(x) =   5x - 2      find g-1(x)

                                                            4x + 3

5. Two numbers when multiplied equals 28.

If one number is x and the other number is greater than x by 3

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 numbers were positive, give the values of the two original numbers.   

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

a) 3x2 + 23x + 14 = 0              b) 8x2 + 6x - 9 = 0     

7. Find the equation of the line joining the points (5, 9) and (-4, -6)  

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

perpendicular to the line 3y = 7 – 2x                                      

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