1. Math
  2. Advanced Math
  3. please solve all of them clearly and separately...

Question: please solve all of them clearly and separately...

Question details

1. Consider the matrix 0 -1 2 A=1-1-1 i)Without finding the eigenvalues and eigenvectors, determine whether the eigenvectors are orthogonal or not. Justify your answer. (5 pts) ii Find the eigenvalues and eigenvectors. (20 pts) iii) Express matrix A in the form A = UDU where D is a diagonal matrix and U is an orthogonal matrix. What are D and U ?(5 pts) iv) Express matrix 4 as 41-ÜDU where D is a diagonal matrix and is an orthogonal matrix by using result from part ii) What are D and U ? (5 pts)

Please solve all of them clearly and separately

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution