(Use MATLAB when necessary!)

a. Find an associative matrix that will store the stimulus-response pair 51=[D.B II] -'.6] T1=[1 -1 2 -1] h. Find an associative matrix that will store the stimulus-response pair 52=[.6 II] 0.3] T2=[ 3 1 ID -1] c. Determine whether 51 and 52 are orthonormal. d. Sum the two matrices from parts {a} and {h} and compute the responses of the two stimulus input vectors: 53=[D 1 o] 5440.? o 0.1] e. If the matrix in part [d] is multiplied hv anv stimulus vector v = [a h c], the result will he the same as for anti.r stimulus vector with the same a and c values, like [a x c]. For example, the input [5 2 1] will give the same response as [5 ? 1]. Give an explanation for this in terms. For full credit, include the role of orthogonal vectors in your explanation