Answer Happy

Gradescope HW19 Q1 1 Point Let u be a vector in R". How can we express the length of u in terms of dot product? O ||u|| O||u|| = u.u = u. u Save Answer Q2 1 Point Let u and v be two nonzero vectors in R³. If u • v = 0, then the angle between u and v is 90 degrees. True False
Q3 1 Point X = 0 True False is an eigenvector for A = Save Answer Q4 1 Point -2 -5 4 Let A be a square matrix. Which of the following statements is true? Given an eigenvalue X, there is only one corresponding eigenvector, that is, there is exactly one nonzero vector x such that Ax = λx. Given an eigenvalue A, there are infinitely many corresponding eigenvectors. In fact, the collection of all eigenvectors corresponding to the eigenvalue A together with the zero vector form a vector space which we call the eigenspace corresponding to the eigenvalue X.