MathDB

4

Part of 2019 Korea USCM

Problems(1)

unitary matrices, determinant

Source: 2019 South Korea USMC P4

8/13/2020
For any n×nn\times n unitary matrices A,BA,B, prove that ∣det⁡(A+2B)∣≤3n|\det (A+2B)|\leq 3^n.
linear algebradeterminantunitary matrixcollege contests