This five-part problem asks you to put together a MATLAB program that finds all the eigenvalues of a real symmetric matrix, using only elementary building blocks. It is not necessary to achieve optimal constant factors by exploiting symmetry or zero structure optimally. It is possible to solve the whole problem by a program about fifty lines long. (a) Write a function T=tridiag(A) that reduces a real symmetric m ×m matrix to tridiagonal form by orthogonal similarity transformations. Your program