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  3. problem 1 1.1 if a is an n x n matrix, prove that

Problem 1 1.1 If A is an n x n matrix, prove that if A has...

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Advance Math

Problem 1

1.1 If A is an n x n matrix, prove that if A has n linearlyindependent eigenvalues, then AT is diagonalizable.

1.2 Diagonalize the matrix below with eigenvalues equal to -1and 5.

01  1  
212
33

2

1.3 Assume that A is 4 x 4 and has three different eigenvalues,if one of the eigenspaces is dimension 1 while the other isdimension 2, can A be undiagonalizable? Explain.

Answer for all 3 questions required.

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