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
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) 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
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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