Posted by **Anatoly Z** on Sunday, January 11, 2009 at 6:01am.

Hello !

i try to solve Linear algebra 2 questions(but need them be written properly as mathmatical proofs)

Having A matrice nXn:

1)proove that if A^2=0 the columns of matrice A are vectors in solution space of the system Ax=0 (x and 0 are vectors of course),and show that p(A)>=n/2

2)proove that if p(A^2)<p(A) (p in all cases here means: the rank of the vectors)

so the system Ax=o has a non trivial solution and the System A^2x=0 has solution y which is Ay≠0,,,,

I have the clue but how write it rught,math way i have big problem..

thank you very much

## Answer This Question

## Related Questions

- Linear Algebra - Hello, could anyone help me with this excersise of linear ...
- Finte Math - Simplex Method - Just a few questions to make sure I am ...
- Span linear - hello everyone!i'm breaking my head and desperate how to do it... ...
- Algebra - |a+2 3z+1 5m|+|3a 2z 5m|=|10 -14 80| |4k 0 3 | |2k 5 6| |10 5 9 | This...
- college Algebra/Linear Algebra - Find a Basis for each of these substances of R^...
- Algebra - |a+2 3z+1 5m|+|3a 2z 5m|=|10 -14 80| |4k 0 3 | |2k 5 6| |10 5 9| I ...
- Algebra - Determine if the relationship represented in the table is linear. If ...
- linear algebra - Determine whether {v1, v2, v3} is a basis for R3 v1 = [1] [-3...
- algebra - Requesting help. (I must reckon, that X is a variable, and y is y-...
- linear algebra - which of the following sets of vectors span R^3? a.){(1, -1, 2...

More Related Questions