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
2) b) Find the determinant of the following matrix
2 -1 -6
-3 0 5
4 3 0
2) 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) hᴏf(x) v) h-1(x) =
4)
Given the functionsg(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
5) a) Represent the information given in equation form
5) b) Express as a quadratic equation
5) c) Solve the quadratic equation to find possible values for x
5 ) d) If told that the two number were positive, give the values of the two original numbers.
6.
Solve the following quadratic equations (hint use the quadratic formula)
6 ) a) 3x2
+ 23x + 14 = 0 6) b) 8x2 + 6x - 9 = 0
7.
Find the equation of the line joining the points (5, 9) and (-4, -6) .
7) a)
Find the Equation of the line using Formula.
7) b) PLOT POINTS ON GRAPH AND SHOW EQUATION OF THE LINE ON GRAPH
8.
Find the equation of the line passing through the point (-4, 8) and
perpendicular to the line3y = 7 – 2x .
8) a) Use Formula to find the equation of the line.
8) b) PLOT POINTS ON GRAPH AND SHOW EQUATION OF THE LINE PASSING THROUGH POINT.
ALSO SHOW PERPENDICULAR TO THE LINE 3y=7-2x on the GRAPH