= Question 5 A square matrix A is called skew symmetric if AT symmetric: (a) 1 2 (b) -2 3 0 0 (c) 0 3 -3 0 2 1 -2 0 (d) 0 1 2 -1 2 05 5 50 -A. Which of the following matrices are skew

Show that the matrix below does not have an LU factorization. A=0110

Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be used to create a leading 1 at the top of the first column. Which do you prefer and why?

Use an example chosen from 22 matrices to show that for nn matrices A and B,ABBA but AB=BA.