Question 1 1 2 a) Prove that the vectors [2) ' (1 ] are linearly independent. 1 3 9 b) The vectors u = (2] , V= (1 ] , W= (8] are linearly dependent. Which linear combination of u and v gives w? Illustrate your answer with a graph. Question 2 a) Evaluate |A|, where 2 5 4 7 o -3 8 6 0 -1 3 -2 4 4 1 8 -3 Hint: Adding a multiple of one column to another column does not change the determinant. Create a column with as many zeros as possible before evaluating he determinant. b) Does matrix A have an inverse