Let A + 2 B = 2 4 0 6 - 3 3 - 5 3 5 and 2 A - B = 6 - 2 4 6 1 5 6 3 4 , then t r A - t r B is equal to (where, t r A = trace of matrix A i.e. sum of the principal diagonal elements of matrix A )

Step-by-step solution

Let, x = 2 4 0 6 - 3 3 - 5 3 5 y = 6 - 2 4 6 1 5 2 3 4 A + 2 B = x 2 A - B = y A = 1 5 x + 2 y , B = 1 5 2 x - y A - B = 1 5 - x + 3 y = 1 5 16 - 10 12 12 6 12 1 6 7 t r A - t r B = t r A - B = 29 5