Hw 3 - practice exam 3 75 minutes name: closed book. closed notes. no calculators and no electronic devices permitted. show all work on the extra paper provided by the instructor. no other paper allowed. simplify all answers and clearly indicate all final answers on these original sheets. turn in all cxam and work papers when turning in your exam. problems 1-10 deal with the following information. consider following sets of orthonormal basis vectors and coordinate vectors in each system. -u, l í ]. "-[4]". v-t2h: /} .-[i. let q be the change of coordinate matrix to go from theu system to the v system. consider the linear transformation t in the u systenm 1. what are the coordinates standard basis 2. state the formula for computing q which is the i-th row and j-th column of the matrix q 3. compute the matrix q ? ? 4. compute the coordinates of u in the v s 5. what are the coordinates of v in the standard 6. compute the change of coordinate matrix to go from the v system to the u system. 7. compute the coordinates of v in the u system 8. state the formula to compute tv in the v in system using ty and q tv