HW1
Due on Feb 20
For a square matrix \(A\), prove that \((A^{1})^\top = (A^\top)^{1}\). (5 points)
Find the gradient of \(f(A)=X^\top A X\) with respect to \(A\), where \(X\) is a column vector and \(A\) is a matrix. Note that \(A\) is the variable here, rather than \(X\) as discussed in class. (5 points)
Try to build a linear regression model to predict the stock price of MSFT from the prices of several other stocks. You can download the Jupyter notebook of the question from here. (10 points)
