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

- Finte Math - Simplex Method - Just a few questions to make sure I am ...
- Algebra - |a+2 3z+1 5m|+|3a 2z 5m|=|10 -14 80| |4k 0 3 | |2k 5 6| |10 5 9 | This...
- Algebra - Determine if the relationship represented in the table is linear. If ...
- Algebra - |a+2 3z+1 5m|+|3a 2z 5m|=|10 -14 80| |4k 0 3 | |2k 5 6| |10 5 9| I ...
- linear algebra - Determine whether {v1, v2, v3} is a basis for R3 v1 = [1] [-3...
- linear algebra - which of the following sets of vectors span R^3? a.){(1, -1, 2...
- Linear algebra - Use the properties of linear operations with vectors to show ...
- linear algebra - Solve for x if the vectors (2, x, 7-x) and (x, 3, -2) are ...
- algebra - 1 Solve the set of linear equations by the matrix method : a+3b+2c=3...
- Algebra - [4,3_1,2]-[1,1_1,0]+[1,1_1,4] Re posting this one. this is a matrice ...

More Related Questions