Diagonalizing a Matrix In Exercise 7-14, find (if possible) a nonsingular matrix P such that P − 1 A P is diagonal. Verify that P − 1 A P is a diagonal matrix with the eigenvalues on the main diagonal A = [ 1 0 0 1 2 1 1 0 2 ]
Diagonalizing a Matrix In Exercise 7-14, find (if possible) a nonsingular matrix P such that P − 1 A P is diagonal. Verify that P − 1 A P is a diagonal matrix with the eigenvalues on the main diagonal A = [ 1 0 0 1 2 1 1 0 2 ]
Solution Summary: The author explains that the nonsingular matrix P such that P-1AP is diagonal is not possible.
Diagonalizing a Matrix In Exercise 7-14, find (if possible) a nonsingular matrix P such that
P
−
1
A
P
is diagonal. Verify that
P
−
1
A
P
is a diagonal matrix with the eigenvalues on the main diagonal
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