Recent content by afik

No, I don't have any idea.

I think that 1 and 3 are correct and 2 is wrong.

If Ax= 0 then certainly A^3x=A^2(Ax)= A^2(0)= 0 for A any linear operator. So the solution set of A is a subset of the solution set of A^3. The question is "are there x that satisfy A^3x= 0 but not Ax= 0? Can you help me more, I need it for tomorrow :(

If I know what can be wrong I finish the homework... I don't know :(

I wrote: "system group of ##A x = 0 ## are not equal to system group of ##A^3 x = 0##" I wrote it down, but I do not know if my counter-argument is true there, or if I am wrong.

I do not know if I do it right in the first attempt... Why in the second attempt A^-1 does not exist?

second attempt:

I tried but I failed.. The matrix A ∈ Mn (R)

Summary:: need help with solution group of Homogeneous system Is the solution group of the system A^3X = 0 , Is equal to the solution group of the system AX = 0 If this is true you will prove it, if not give a counterexample. thank you.