Let A be any matrix such that A2=0 matrix then does it implies A is a zero matrix?
akash , 12 Years ago
Grade 12
Algebra> martices...
3 Answersprashanth
yes
Vinay Modani
Not necessarily.
If A2 = 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 A2 will be equal to zero.
Amit Jain
Not at all. Consider A = 0 1
0 0
It is not zero but A^2=0.
Amit Jain
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