Question

线性代数，行列式题？

例13题。

Answer 1

方法如下，
请作参考：

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Answer 2

A11+A12+A13+A14 = 1·A11+1·A12+1·A13+1·A14 =
| 1 1 1 1|
| 1 1 0 -5|
|-1 3 1 3|
| 2 -4 -1 -3|
=
| 1 1 1 1|
| 1 1 0 -5|
|-2 2 0 2|
| 3 -3 0 -2|
=
| 1 1 -5|
|-2 2 2|
| 3 -3 -2|
=
| 1 2 -5|
|-2 0 2|
| 3 0 -2|
= -2·
|-2 2|
| 3 -2|
= -2·(4-6）= 4;
M11+M21+M31+M41 = 1·A11-1·A21+1·A31-1·A41 =
| 1 -5 2 1|
|-1 1 0 -5|
| 1 3 1 3|
|-1 -4 -1 -3|
=
| 1 -5 2 1|
|-1 1 0 -5|
| 1 3 1 3|
| 0 -1 0 0|
= -1·
| 1 2 1|
|-1 0 -5|
| 1 1 3|
= -1·
|-1 0 -5|
|-1 0 -5|
| 1 1 3|
= 0

Answer 3

真忘了告诉你