book Maths Puzzle Numerical Ability

(-3)(-8)-4(-2)▐x2

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Let x1 < x2 <.....<xm, For i = 1,......,m, define linear operators Ti: Pn(R)--> R^1 by TiP=P(Xi). If m<=n, show that (T1,....,Tm) is linearly independent. What happens if m> n? exp The equation of a straight line is given by 2y = 3x - 8 . What is the gradient of the line?