1. Expand the following summations: (For example, the answer to part (a) is $1 -F $2 + x3) (d) (f) Note that by definition t! 1 2 YD Elk __1 (2k + E4n2 Y n.F2 (t 1) t for integer t 1. 2. Consider the following two vectors: a: 2 3 3 2 , and a matrix A (a) (b) (d) (f) (g) -2 3 2 3 3 2 Let n be the dimension of and y. What is the value Of n? Compute 2a_: y. Compute the inner product a: y. Compute the Euclidean norm y112 called the 12-norm. Compute the CI-norm ylll = Compute the fm-norm ll:r rnax1SiSn yd. Compute a: T Ay. 3. State whether each Of the following sets is convex or not. Explain your reasonmg. 1. Expand the following summations: (For example, the answer to part (a) is $1 -F $2 + x3) (d) (f) Note that by definition t! 1 2 YD Elk __1 (2k + E4n2 Y n.F2 (t 1) t for integer t 1. 2. Consider the following two vectors: a: 2 3 3 2 , and a matrix A (a) (b) (d) (f) (g) -2 3 2 3 3 2 Let n be the dimension of and y. What is the value Of n? Compute 2a_: y. Compute the inner product a: y. Compute the Euclidean norm y112 called the 12-norm. Compute the CI-norm ylll = Compute the fm-norm ll:r rnax1SiSn yd. Compute a: T Ay. 3. State whether each Of the following sets is convex or not. Explain your reasonmg.