Mathematics II - Old Questions

18. Let b1 = (1, 0, 0), b2 = (-3, 4, 0), b3 = (3, -6, 3) and x = (-8, 2, 3) then 

(a) Show that B = {b1, b2, b3} is a basis of R3.

(b) Find the change of co-ordinates matrix from B to the standard basis.

(c) Find [X]B, for the given x.

8 marks | Asked in 2071