Proof for linear algebra xk=A^kx0 using induction

[danielle`]

I need to prove this equation using induction:

x(subscript)k = A^kx(subscript)0, for k is greater than or equal to 0.

 

[Deleted member 4993]

I need to prove this equation using induction:

x(subscript)k = A^kx(subscript)0, for k is greater than or equal to 0.

If you have posted the COMPLETE & EXACT problem presented to you - it CANNOT be done.

 

[danielle`]

Xk = Akx0, for all k ≥ 0

so i cant prove this...my teacher says i need to use induction to show that
x(sub)k=A^kx(sub)0, for all k greater than or equal to 0

 

[stapel]

Xk = Akx0, for all k ≥ 0

so i cant prove this..

Since we have absolutely no information on x_k, x₀, A_k, nor any relationship between any of them, there is no way to prove (or disprove) anything. Without a statement or actual question, I'm afraid there is nothing that can be done. Sorry.

Please consult with your instructor for the rest of the information. Thank you.

Eliz.