Question

Solve the matrix equation for x. Let A=[[1,-1],[-3,-1]] and B=[[-3,3],[1,2]];,x+A=B

Answer 1

To solve the matrix equation x + A = B, subtract matrix A from both sides of the equation to get x = B - A. Calculate the difference of the two matrices B and A by subtracting their corresponding elements.

Step-by-step explanation:

To solve the matrix equation x + A = B, we need to isolate x on one side of the equation. First, subtract matrix A from both sides of the equation to get x = B - A. Next, calculate the difference of the two matrices B and A by subtracting their corresponding elements. In this case, we have x = [[-3-1,3-(-1)],[1-(-3),2-(-1)]] = [[-4,4],[4,3]].