Answer:
X=[24,,-33]
Step-by-step explanation:
The given equation is :
[tex]-\frac{1}{3}X+\frac{1}{3}A=B[/tex]
We multiply through by 3 to get:
[tex]X-A=-3B[/tex]
Solve for x to get:
[tex]X=A-3B[/tex]
The entries are: A=[-12 -3] B= [-12 10]
Let X=[a,b]
We substitute the entries to get:
[a,b]=[-12,-3]-3[-12,10]
We simplify the Right Hand Side to get:
[a,b]=[-12,-3]-[-36,30]
We simplify further to get:
[a,b]=[-12--36,-3-30]
This implies that:
[a,b]=[24,-33]
Hence, X=[24,-33]