1)  If A =     2   1     and   B =    2    -3                   8   6                      -1    -2 Find:- (a) BA              ( b) determinant B         (c) Adjoint B    (d) A-1

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.CR: Chapter Review
Problem 11CC
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1)  If A =     2   1     and   B =    2    -3

                  8   6                      -1    -2

Find:- (a) BA              ( b) determinant B         (c) Adjoint B    (d) A-1          

 

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

                          2x + 3y = 13

                           x – 4y = 1                                                       

 

  1. a)      Find the determinant of the following matrix

                                          2      -1     -6                                    

                                         -3      0      5

                                          4      3      0

  1. c)  If told that matrixAis 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)]  =

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

 


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

                                                            4x + 3                                   

 

  1. Two numbers when multiplied equals 28.

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

  1. a)      Represent the information given in equation form
  2. b)      Express as a quadratic equation
  3. c)      Solve the quadratic equation to find possible values for x
  4. d)      If told that the two number were positive, give the values of the two original numbers.                                                                                  

 

  1. Solve the following quadratic equations
  2. a) 3x2+ 23x + 14 = 0               b) 8x2+ 6x - 9 = 0                

 

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

 

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

perpendicular to the line 3y = 7 – 2x                                      

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