Question 1

Figure from the original question paper Consider the quadratic form\ . If Figure from the original question paper Figure from the original question paper Figure from the original question paper Figure from the original question paper Figure from the original question paper , where\ and\ is a\ matrix, which of the following is ? Figure from the original question paper Figure from the original question paper Figure from the original question paper Figure from the original question paper Figure from the original question paper Figure from the original question paper Consider a matrix\ of shape\ . The SVD of\ is given by\ . The columns of are the Figure from the original question paper left singular vectors and the columns of\ are the right singular vectors. The following details are given: Figure from the original question paper • The first left singular vector is\ • The first right singular vector is Figure from the original question paper Figure from the original question paper • The first singular value is Figure from the original question paper Find\ .