Consider the matrices A and B such that: 1 0 0 /1 ^-( : ) - 6:0 = ( A = 0 1 1 and B 0 1 1 0 0 1 a) Which, if any, of the matrices A and B are invertible? Provide a justification b) Which, if any, of the matrices A and B have an eigenspace of 2 c) Which, if any, of the matrices A and B are diagonalisable 1 1 Consider the matrix A with column vectors x, x2 and x3 such that A = 1 Use the Gram- Schmidt process to find an orthogonal basis for col (A) 0 1 -1 0 1 2 3 1 - 2/- (6) 67F QUESTION 9 5 - O()} Consider the set of vectors S = a) Find a basis for span S b) What is the dimension of Span S c) Write -31 -8 as a linear combination of the basis in (a) be subset of R (6) (2) (5)