Mathematics · Group Theory
Let α and β be complex numbers. Which of the following sets of matrices forms a group under matrix multiplication?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1⌈ α β ⌉ ⌊ -β* α* ⌋ where |α| 2 + |β| 2 = 1✓
- 2⌈ α α* ⌉ ⌊ β β* ⌋ where αβ* is real
- 3⌈ 1 α ⌉ ⌊ β 1 ⌋ where αβ ≠ 1
- 4⌈ α β ⌉ ⌊ 0 0 ⌋
Correct answer
⌈ α β ⌉ ⌊ -β* α* ⌋ where |α| 2 + |β| 2 = 1
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