For the following problems, state if the give function is linear. If it is linear, find a matrix of that linear map with respect to the standard bases of the input and output spaces. If it is not linear, provide an example of an input that fails to follow the definition of being Linear. (5 points per part) a. Let x = = [X₁ X₂ •n]T. X T (x) = ||x|| b. x1 + x₂ + + In n c. Let x = [1 X2 - M(x)) d. •xn]. M x1 x2 (1) = V (x) G n Σ(x; - M(x))2 n-1 i=1 a (1) - = a - c b-a с