## Solution to Mathematics for Machine Learning Exercise 7.4

Consider whether the following statements are true or false: (a) The sum of any two convex functions is convex. Solution: True. Let $f_1(\mathbf x)$ and $f_2(\mathbf x)$ be two convex…

Consider whether the following statements are true or false: (a) The sum of any two convex functions is convex. Solution: True. Let $f_1(\mathbf x)$ and $f_2(\mathbf x)$ be two convex…

Consider whether the following statements are true or false: (a) The intersection of any two convex sets is convex. Solution: True. Let $\mathcal C_1$ and $\mathcal C_2$ be two convex…