Matrices A and B as follows: All are 3 x 3 matrices A=[first row 1/root2 -1/root2 0 second row 1/root2 1/root2 0 third row 0 0 1 ] B=[first row 1/root2 0 -1/root2 second row 0 1 0 third row 1/root2 0 1/root2] A is a partitioned matrix I) Describe the homogeneous linear transformation T(X) = AX as a mapping points of (x1, x2) plane and corresponding mapping of x3. ii) Can a similar description be given to the transformation S(X) = BX? iii) Find matrix product c = BA? So I basically work out the determinant of matrix A which works out to be 1 (correct?)