Question

Given the matrices A and B shown below, solve for X in the equation -1/3X + 1/3A=B

Answer 1

Answer:

X=[24,,-33]

Step-by-step explanation:

The given equation is :

$-\frac{1}{3}X+\frac{1}{3}A=B$

We multiply through by 3 to get:

$X-A=-3B$

Solve for x to get:

$X=A-3B$

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]