Solve the matrix equation. x-[2 -8];[-4 2] = [4 -6];[2 -8]

1 answer

To solve the matrix equation, we need to find the value of x that satisfies the equation x - A = B, where A and B are matrices.

Given:
x - [2 -8]
[-4 2] = [4 -6]
[2 -8]

To solve this equation, we can add the matrix A to both sides:
x = B + A

x = [4 -6]
[2 -8] + [2 -8]
[-4 2]

Performing the matrix addition, we get:
x = [4+2 -6+(-8)]
[2+(-4) -8+2]

Simplifying further, we have:
x = [6 -14]
[-2 -6]

Therefore, the solution to the matrix equation is:
x = [6 -14]
[-2 -6]