Let A be a symmetric nn matrix with eigenvalues 1, . . . , n. Show that there exists an orthonormal set of vectors {x1, . . . , xn} such that xTAx = _n i=1 i _ xT xi _2 for each x Rn. 1

th 1. The median age of the members of the House of the 113 Congress is 61 years old. The average age of the members of the Senate is 62 years old. 2. As of January 2015, there are 84 women serving in the House. 20 women are currently serving in the Senate in the 114 Congress. 3. Currently, there are 46 AfricanAmericans serving in the House of Representatives and 1 in the Senate....