If A = 2 1 and B = 2 -38 6 -1 -2Find:- 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                                                      Find the determinant of the following matrix                                           2      -1     -6                                                                              -3      0      5                                           4      3      0 If told that matrix A is a singular Matrix find the possible value(s) for x                                                  16        4x                                A =            x           9              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) hᴏf(x)                     v) h-1(x) =  Given the functions            g(x) =   5x - 2      find g-1(x)                                                             4x + 3           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 number were positive, give the values of the two original numbers.  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

Elementary Linear Algebra (MindTap Course List)
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Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...
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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                                                     

Find the determinant of the following matrix

                                          2      -1     -6                                    

                                         -3      0      5

                                          4      3      0

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

                                                 16        4x

                               A =            x           9             

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) = 

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

                                                            4x + 3          

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

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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