Let A be any matrix such that A2=0 matrix then does it implies A is a zero matrix?

Question

prashanth · Answer

yes

Vinay Modani · Answer

Not necessarily. If A 2 = 0, then such matrix A is known as Nilpotent Matrix. e.g. A = 0 1 0 0 This matrix A is not equal to zero but A 2 will be equal to zero.

Amit Jain · Answer

Not at all. Consider A = 0 1 0 0 It is not zero but A^2=0. Amit Jain IITD AskIITians

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Let A be any matrix such that A2=0 matrix then does it implies A is a zero matrix?

Let A be any matrix such that A2=0 matrix then does it implies A is a zero matrix?

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