If M and N are two matrices defined by  $M=\left( \begin{matrix}   1 & 3 & 2  \\   4 & 5 & -1  \\   -3 & 2 & 0  \\\end{matrix} \right)$and$\left( \begin{matrix}   1 & -2 & 3  \\   4 & -1 & 5  \\   2 & -3 & -1  \\\end{matrix} \right)$,evaluate 2M – 3N

A polynomial in x whose zero are –2, –1 and 3 is

If $P=\left( \begin{matrix}   1 & 3 & 2  \\   4 & 5 & -1  \\   -3 & 2 & 0  \\\end{matrix} \right)$find the determinant of matrix P

f m = 3,  p = –3  q =7 and  r = $\tfrac{5}{2}$, evaluate $m(p+q+r)$

Find the range of value of x for which  $7x-3>25+3x$

An operation * is defined on the set of real numbers by $a*b=ab+2(a+b+1)$find the identity element

If the term of an AP is twice the third term and the sum of first terms is 42, find the common difference.

The weight W kg of a metal varies jointly as its length L metres and the squares of its diameter d metres. If W  =140kg when d =$4\tfrac{2}{3}metres$and L =54. Find d in terms of W and L

Find the sum of the first 20 terms of the terms 8, 12, 16,-----,96

The time taken to do a piece of work is inversely proportional to the number of men employed. If ity takes 30 men to do a  piece of work in 6days, how many men are required to do the work in 4 days