[Solved] CUNY605 Assignment3

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. Youll need to show your work. Youll need to write out the characteristic polynomial and show your solution.

(3)

Please show your work using an R-markdown document. Please name your assignment submission with your first initial and last name.

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