1. ## Linear system equasion

Hi,

i need help with problems i have atthached...

2. ## Re: Linear system equasion

Use the properties you know. Scalar multiplication is commutative and associative. So $A(kX_0) = A(X_0k) = (AX_0)k = 0k = 0$.

Matrix multiplication is left distributive: $A(kX_0+X_1) = (AkX_0) + AX_1 = 0+C = C$.

3. ## Re: Linear system equasion

Thanks SlipEternal.

Is this enough for proof or it has to be written out?

4. ## Re: Linear system equasion

I don't know what your professor expects. Write it out as much as you think it should be written out.