SOLUTION: an n x n matrix A is nilpotent if A^r=0 for some positive integer
(a)give an example of a nonzero nilpotent 2 x 2 matrix
(b)show that if A is invertible matrix,then A is not ni
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-> SOLUTION: an n x n matrix A is nilpotent if A^r=0 for some positive integer
(a)give an example of a nonzero nilpotent 2 x 2 matrix
(b)show that if A is invertible matrix,then A is not ni
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Question 1062853: an n x n matrix A is nilpotent if A^r=0 for some positive integer
(a)give an example of a nonzero nilpotent 2 x 2 matrix
(b)show that if A is invertible matrix,then A is not nilpotent Answer by ikleyn(52790) (Show Source):
You can put this solution on YOUR website! .
an n x n matrix A is nilpotent if A^r=0 for some positive integer
(a)give an example of a nonzero nilpotent 2 x 2 matrix
(b)show that if A is invertible matrix,then A is not nilpotent
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a) An example is A = . Check that = 0.
b) If a matrix A is nilpotent, then det(A) = 0 (determinant).
From the other side, if a matrix A is invertible, then its determinant is not zero.
