Question:
Let A be (2n+1)×(2n+1) matrix with integer entries and positive determinant,where n∈N.If AAT = I = ATA, then which of the following statements always holds?
Let A be (2n+1)×(2n+1) matrix with integer entries and positive determinant,where n∈N.If AAT = I = ATA, then which of the following statements always holds?
Updated On: Jun 10, 2024
- det(A)=0
- det(A+I)≠0
- det(A+I)=0
- det(A-I)=0
- det(A-I)≠0
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The Correct Option is D
Solution and Explanation
The correct option is (D): det(A-I)=0
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