Question Consider a three-class classification problem. We have a sample set of 15,000 records. The machine learning model is subject to the below conditions upon testing: The model confuses Class

Let be a given matrix with . Find upper bound on the number of additions and multiplications required to determine the rank using the elimination procedure. Basic Understanding of Problem

A professor teaching linear algebra starts with a square matrix G whose QR decomposition is given by . He then defines matrices which has a QR decomposition of the form

Question Investigate the nature of critical points for the given functions: a) b) Solution ================================================================================================== a) Step-1: Find critical points: Thus, (2,

Question Using Lagrange multipliers, show that: a) maximum value of subject to is b) minimum value of subject to is Solution ============================================================================================ a) maximum value of subject to is Objective

Question Let P be a real square matrix satisfying and . i) Can the matrix P have complex eigenvalues? If so, construct an example, else, justify your answer. ii) What

Let be a given square matrix. Compute the number of multiplications and additions required to evaluate using: a) the naive method, (28 times) b) etc. Solution Number of multiplications required