问题

Questions in category: 矩阵 (Matrix).

关于 2025 的矩阵

Posted by haifeng on 2025-01-01 12:35:07 last update 2025-01-01 14:25:53 | Answers (0) | 收藏

>> A=[2,0,2,5;0,2,5,2;2,5,2,0;5,2,0,2]

input> [2,0,2,5;0,2,5,2;2,5,2,0;5,2,0,2]

--------------------

2 0 2 5

0 2 5 2

2 5 2 0

5 2 0 2

--------------------

>> det(A)

225

因此, 若令

\[
A=\begin{pmatrix}
2&0&2&5\\
0&2&5&2\\
2&5&2&0\\
5&2&0&2
\end{pmatrix}
\]

则

\[
\det(\sqrt{3}A)=2025.
\]

或

\[
\det(\sqrt{2\cdot 0-2+5}A)=2025.
\]

>> A=[2 2 5 0;

A=[2 2 5 0;

5 0 2 2;

0 5 2 2;

2 2 0 5]

A=[2 2 5 0;

input> [2,2,5,0;5,0,2,2;0,5,2,2;2,2,0,5]

--------------------

2 2 5 0

5 0 2 2

0 5 2 2

2 2 0 5

--------------------

>> det(A)

225

>> C=[2 2 5;

C=[2 2 5;

2 5 2;

5 2 2]

C=[2 2 5;

input> [2,2,5;2,5,2;5,2,2]

--------------------

2 2 5

2 5 2

5 2 2

--------------------

>> det(C)

-81