Collection of matrices and vectors used in linear algebra, including A, B, C, D, E, F, G, H, and vectors u, v, w, x, y.

1. Compute A + B:
A + B = [[1+11, 2+(-1)], [-3+4, 1+3]] = [[12, 1], [1, 4]]

2. Compute C - D:
C - D = [[2-(-1), 1-0, 3-4], [4-3, 1-1, 7-1]] = [[3, 1, -1], [1, 0, 6]]

3. Compute 2*E:
2*E = [[2*1, 2*(-1)], [2*(-2), 2*0], [2*1, 2*(-2)]] = [[2, -2], [-4, 0], [2, -4]]

4. Compute F * w:
F is 3x2, w is 3x1; dimensions incompatible for multiplication (inner dimensions 2 and 3 do not match).

5. Compute G * x^T:
G is 3x3, x^T is 3x1; result is 3x1.
G * x^T = [[1*2 + 0*(-1) + 1*(-2)], [3*2 + (-1)*(-1) + (-2)*(-2)], [0*2 + 2*(-1) + (-1)*(-2)]] = [[0], [11], [0]]

6. Compute y * H:
y is 1x4, H is 3x3; dimensions incompatible for multiplication (inner dimensions 4 and 3 do not match).

7. Compute u^T * v:
u^T is 1x2, v is 2x1; result is 1x1 (scalar).
u^T * v = [1, 7] * [[3], [-2]] = 1*3 + 7*(-2) = 3 - 14 = -11

8. Compute the trace of matrix A:
Trace(A) = sum of diagonal elements = 1 + 1 = 2