Given A=[4 9 -2;-3 5 7] and C= [2 -1 -3;1 4 -2], and A+B=C, what is b?

To find the value of B, we can subtract matrix A from both sides of the equation A + B = C:

B = C - A

Given that matrix A is [4 9 -2; -3 5 7] and matrix C is [2 -1 -3; 1 4 -2], we can subtract matrix A from matrix C:

C - A = [2 -1 -3; 1 4 -2] - [4 9 -2; -3 5 7]

Subtracting corresponding elements, we get:

C - A = [-2 -10 -1; 4 -1 -9]

Therefore, matrix B is:

B = [-2 -10 -1; 4 -1 -9]