ASSIGNMENT 3- FUNDAMENTALS OF COMPUTATIONAL MATHEMATICS

 - 2014
1. Problem set 1
(1) What is the rank of the matrix A? A =    1 2 3 4 −1 0 1 3 0 1 −2 1 5 4 −2 −3
    (1)(2) Given an mxn matrix where m n, what can be the maximum rank? The minimum rank, assuming that the matrix is non-zero? (3) What is the rank of matrix B? B =  1 2 1 3 6 3 2 4 2  (2) 2. Problem set 2
Compute the eigenvalues and eigenvectors of the matrix A. You’ll need to show your work. You’ll need to write out the characteristic polynomial and show your solution. A =  1 2 3 0 4 5 0 0 6  (3)