4. 5. Let A be the following matrix: A = 5 -1 3 0 0 -5 -5 O 0 4 2 0 0 -5 -3 0 0 1 -1 1 1 0 0 0 0 Find all eigenvalues of A. For each eigenvalue, find a basis of its eigenspace. Show your work in details. Let A be the matrix in Problem 4. Is A invertible? If A is invertible, compute A-1. Show your work in details. Detailed justifications are required!
4. 5. Let A be the following matrix: A = 5 -1 3 0 0 -5 -5 O 0 4 2 0 0 -5 -3 0 0 1 -1 1 1 0 0 0 0 Find all eigenvalues of A. For each eigenvalue, find a basis of its eigenspace. Show your work in details. Let A be the matrix in Problem 4. Is A invertible? If A is invertible, compute A-1. Show your work in details. Detailed justifications are required!
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Transcribed Image Text:4.
5.
Let A be the following matrix:
A =
5
-1
3
0
0
-5 -5 O 0
4 2 0
0
-5
-3 0
0
1 -1
1 1
0 0
0
0
Find all eigenvalues of A. For each eigenvalue, find a basis of its eigenspace. Show
your work in details.
Let A be the matrix in Problem 4. Is A invertible? If A is invertible,
compute A-1. Show your work in details.
Transcribed Image Text:Detailed justifications are required!
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