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

A=[-12 -3] B= [-12 10]
3 0 -7 2

X=[24,,-33]

Step-by-step explanation:

The given equation is :

We multiply through by 3 to get:

Solve for x to get:

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]

beanburito

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