[SOLVED] CUNY605-Assignment 3

Description

1. Problem set 1

• What is the rank of the matrix A?

^ 1      2      3        4 

A = _−01 01 −12  31 ^               (1) 5      4 −2 −3

• Given an mxn matrix where m>n, what can be the maximum rank? The minimum rank, assuming that the matrix is non-zero?
• What is the rank of matrix B?

(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.