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109年 - 109 國立中山大學_碩士班招生考試_資工系(乙組):工程數學#105759
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題組內容
I Discrete Fourier Transform (DFT) is a widely used transformation method in signal processing. According to DFT matrix, please determine the correctness of the following descriptions.
5. The orthogonality is not the property of the DFT matrix.
其他申論題
1.All circulant matrices are made diagonal by the Discrete Fourier Transform (DFT), regardless of the generating vector x.
#450112
2..DFT matrix is not a kind of symmetric matrix.
#450113
3. DFT matrix is an unitary matrix.
#450114
4.The DFT is a linear transform.
#450115
6. The determinant of A is 6.
#450117
7. The trace of A is 7.
#450118
8. The rank(A-1)=3, where I is the 4x4 identity matrix.
#450119
9. The determinant of the adjoint matrix At is 6.
#450120
10. The matrix A is a simple matrix.
#450121
11. The row space of A is equal to the row space of B.
#450122