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I would begin the session with checking a basic understanding of the methods of long division, as these will not have been taught very recently. Many students will have been using short division, as it is...

Expanding out the Brackets: (n²)+ (n² + n + n + 1) + (n² + 2n + 2n +4) = (n²) + (n²+2n+1) + (n²+4n+4) =3n² + 6n +5 Using this r...

Matrix M is

-2 1 -4

1 -1  5

3  0  2

Let A be a square nxn matrix. Then, for each entry Aij (where 1 </= i < n, 1 </= j < n), the minor of Aij is A(^i;^j), the deter...

Induction is a method that can be used to prove that a mathematical statement holds for possitive integers, n. It usually consists of four steps, as follows:  1) Basis: Show that the statement to be prove...

First, recognise that 3^2 = 9. Recall the rule for multiplying indices, that (a^b)^c = a^{bc}. Then, substitute 3^2 in place of 9 to get 3^{4x} = (3^2)^{(x-1)/2}. Use the rule for multiplying indices, so ...