ASSIGNMENT 3
IS 605 FUNDAMENTALS OF COMPUTATIONAL MATHEMATICS
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)
Please show your work using an R-markdown document. Please name your assignment
submission with your first initial and last name.
1
