Question 1 1 pts A student makes the following computations. Identify the errors made by this student. The matrix A is 3 2 2 3 2 2 The student computes AT A = [17 8 1 8 17 The characteristic polynomial is A2 34/1 + 225 = (A 25x1 9) The student concludes that the singular values are 0-1 = 5 and 02 = 3. This means that 5 0 0 0 3 O The student the computes the eigenspaces of ATA E25 = span, l] and E9 = span[1.l] This means that 1 1 U = 1 1 and 1 1 U _ _ 2 _1 and hence, Finally we compute the vectors :11 and 42 by computing 15 A = U] 25 0 and 1 A 1 1 u:;_ 2 2 4 The vectors in and in are the rst two columns of U, in order nd the third column of U, the student nds a vector that is orthogonal to both 111 and g, for example [2,-2.4] 1 5 1 2 U=5 1 2 0 4 1 The columns of U are not orthogonal to each others The student incorrectly computed the matrix V The student didn't normalize the columns of U The student incorrectly computed the singular values C I: I: I: I: The student incorrectly computed E