Suppose B is a 3 times 3 matrix, and that v_(1) and v_(2) are eigenvectors of B with eigenvalue lambda = 2, while w is an eigenvector of B with eigenvalue lambda = 3. Which of the following must be true?
1) v_(1) + v_(2) is an eigenvector of B with eigenvalue lambda = 5
2) v_(1) - v_(2) is an eigenvector of B with eigenvalue lambda = -1
3) v_(1) + v_(2) is an eigenvector of B with eigenvalue lambda = 2
4) v_(1) - v_(2) is an eigenvector of B with eigenvalue lambda = 1