Please assist in this homework practical. Please also provide screenshots of R outputs and code for extra practice.

Consider the two following observed data sets with 5 observations and 2 variables for A data set and 3 variables for B 6 6 A = B = 3 09 15 09 09 09 The eigenvalues and corresponding eigenvectors of the data B are given as follows Al = 14.196, e1 = (-0.57735, -0.21132, -0.78868) Az = 3.804, 62 = (0.57735, -0.78868, -0.211324) As = 0, (-0.57735, -0.57735, 0.57735) T(d) (2 Marks) Using the above eigenvalues and eigenvectors of the ma- trix B, write down the singular value decomposition expression for B. Check the results by reconstructing B using the SVD decomposition