Physics · Quantum Mechanics
Let A and B be 2 × 2 Hermitian matrices. Let |a1⟩ and |a2⟩ be two linearly independent eigenvectors of A. Consider the following statements: 1. If |a1⟩ and |a2⟩ are eigenvectors of B, then [A, B] = 0. 2. If [A, B] = 0, then |a1⟩ and |a2⟩ are eigenvectors of B. Choose the correct option.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Both statements 1 and 2 are true
- 2Statement 2 is true but statement 1 is false
- 3Statement 1 is true but statement 2 is false✓
- 4Both statements 1 and 2 are false
Correct answer
Statement 1 is true but statement 2 is false
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