Name ________________________                  Linear Algebra, Quiz 4, Summer 2004  

 

Problem 1. Find a matrix P that orthogonally diagonalizes A, use P to diagonalize A, and show that P is an orthogonal matrix.

A = matrix([[0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, 1, 0, 0]])

 

 

 

 

 

 

 

Problem 2.  Find a matrix P that orthogonally diagonalizes A, use P to diagonalize A, and show that P is an orthogonal matrix.

A = matrix([[-2/7, 6/7, 6/7], [6/7, 5/7, 0], [6/7, 0, 11/7]])