Top answers

Why is it that when 'transformation A' is followed by 'transformation B', that the combined transformation is BA and not AB?

Remember that with matrix multiplication, "A times B" does not usually equal "B times A". If we take our 'matrix X' and transform it by 'matrix A'. We perform this transformation by calcu...
JD
9094 Views

Find the gradient of the line x^2 + 3x - 6 at the point (5,34)

Differentiate: 2x + 3.Substitute for x=5: 2(5) + 3Answer =13.
DD
2262 Views

In a chess club there are x boys and y girls. If ten more boys join and one more girl joins, there is an equal amount of boys and girls. Knowing that y = 2x+2, Calculate x and y. [4 marks]

There are x boys and y girls. So x = boys, y = girls. Ten boys join so x + 10 = boys, one girl joins so y + 1 = girls. These values are said to be equal, so we construct an equation with x and y. x + 10 = y ...
BL
6197 Views

Use the factor theorem to show that (x-1) is a factor of x^3 - 3x^2 -13x + 15

If (x-1) is a factor of x 3 - 3x 2 -13x + 15 then one of the solutions for x must be x = 1.(This is because, if (x-1) is a factor of this equation then it is true that x-1=0, because this is a point where th...
JB
4997 Views

A=(1,a;0,1/2) B=(1,-1;0,2) AB=I, calculate the value of a.

First notice I is the 2x2 identity matrix (1,0;0,1) now we can form an equation to solve for a, look for an entry where a is involved the (1,2) entry of I is 0 and calculated by 1(-1)+2a=0 now solving gives ...
DS
2550 Views