Let A Be An N X N Matrix Over C Recall That A Is Diagonalizable If And Only If

Solve problem 3 from Advanced Linear Algebra relatef to Matrices and eigen vectors.

3. Let A be an n x n – matrix over C. Recall that A is diagonalizable if and only if there*exists an invertible matrix B such that B- 1 AB – D where D is a diagonal matrix .Show that A is diagonalizable if and only if (" has a basis of eigenvectors of A .

 

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