Homework answers / question archive / 1)  If A =     5   6     and   B =    3    4                   -1 -2                    -1    -2 Find:- a) B2                 b) determinant A         c) Adjoint B          d) A-1                                          2) a) Using matrix method solve the following simultaneous equations                           2x + 5y = 18                          x - 3y = -2                                                                                                         a)      Find the determinant of the following matrix                                            1     -1     -6                                                                                                                                  0      3       6                                             7      4      2 c)  If told that the determinant of A = 84 find the possible value(s) for x                                                  4x        2x                                A =            4           3x                                                                                        3) Given that f(x) = 2x + 8  g(x) = 5x - 2    and h(x) = 2x + 6                                                               4                             x     Find:-          i) f(-5) =                      ii) g[f(0)] =                  iii) f[h(3)]  =                                        iv) h?f(x)                     v) h-1(x) =                                                            4

1)  If A =     5   6     and   B =    3    4                   -1 -2                    -1    -2 Find:- a) B2                 b) determinant A         c) Adjoint B          d) A-1                                          2) a) Using matrix method solve the following simultaneous equations                           2x + 5y = 18                          x - 3y = -2                                                                                                         a)      Find the determinant of the following matrix                                            1     -1     -6                                                                                                                                  0      3       6                                             7      4      2 c)  If told that the determinant of A = 84 find the possible value(s) for x                                                  4x        2x                                A =            4           3x                                                                                        3) Given that f(x) = 2x + 8  g(x) = 5x - 2    and h(x) = 2x + 6                                                               4                             x     Find:-          i) f(-5) =                      ii) g[f(0)] =                  iii) f[h(3)]  =                                        iv) h?f(x)                     v) h-1(x) =                                                            4

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1)  If A =     5   6     and   B =    3    4

                  -1 -2                    -1    -2

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

 

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

                          2x + 5y = 18

                         x - 3y = -2                                                                                                       

 a)      Find the determinant of the following matrix

                                           1     -1     -6                                                                                      

                                           0      3       6

                                            7      4      2

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

                                                 4x        2x

                               A =            4           3x                                                                                     

 

3) Given that f(x) = 2x + 8  g(x) = 5x - 2    and h(x) = 2x + 6  
                                                            4                             x
    Find:-          i) f(-5) =                      ii) g[f(0)] =                  iii) f[h(3)]  =

                                       iv) h?f(x)                     v) h^-1(x) =                                                           

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

                                                           4x - 5                                                                                  

 

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?         

 

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

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

 

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

8. Find the equation of the line passing through the point  (-6, 4) and

perpendicular to the line         3y = 8 + 2x