Kyle_HW12 - Conjugate Gradients The program should take a positve-definite symmetric matrix and a vector in a file and return a solution vector in vector format: printing the vector size before the vector data. USAGE > ./kyle_hw12 < input > out The input file should contain two filenames. For example: A.mat x.vec /* sample input file */ A sample input (sample) is provide along with vector (x.vec) and matrix (A.mat) files. VALIDATION The program was tested by comparing the output of a 2x2 and a 3x3 symmetric matrix (sample) with Mathematica's LinearSolve function.