Linear algebra. Angle between vectors in multiple dimensions,

I have a strong background of linear algebra, abstract algebra, theoretical statistics and probability theory.I graduated from Indian Institute of Technology, Kharagpur in 2016. I have experience of implementing Factor Analysis, Principle Components analysis, multivariate regression , ANOVA , Regularized regression methods like LASSO and Elastic net, classification and regresison trees, Monte Carlo methods etc. in R. I have attached a few of my codes on my profile. I have had the opportunity of working as a research assistant at IIM Lucknow, where I looked into a data set pertaining to market advertisements , and I gained some experience in statistical learning. I ,also, worked in Nomura as an investment banking intern in the equity derivatives team. I have had the exposure to financial derivatives and have worked on momentum based strategies. I had taken up another project at IIT Kharagpur , which was pertaining to statistical learning , especially localized regularization. I have the experience of working on Excel VBA and R. I have sound knowledge of Linear Algebra, Mathematical analysis and probability theory. I am, currently, exposing myself to machine learning and a study of the theory of derivatives pricing.

Hi there! I am Naseef Ummer, a doctoral research scholar working at the Indian Institute of Technology (IIT) Delhi. I am an expert in excel and VB app. I have done several works to my credit in this area. I have seen your attachment. And I am able to do your work from this understanding. I would able to start your work right away and will be able to complete in 0 days time. Looking forward to talk with you at the earliest. Warm regards, Naseef U.

I'm Professor(BPS-19) in top institute (Nust )of Pakistan Teaching as a Physics, Mathematics and Statistics Topic Include: Calculus Differential Equation Multivariate Calculus Accounting Finanace Theory Sets Linear Algebra Numerical Computing kindly contact for discussion thanks regards Muhammad Uzair Khan

Hi there! to find theta you need take arccos(1/sqrt(2)) = 45 degree. Please contact me if you need more explanations. Regards, Valentin