Question

线性代数，行列式题？

例13题。

Answer 1

方法如下，
请作参橘孙考：

<img class="ikqb_img" src="https://iknow-pic.cdn.bcebos.com/21a4462309f79052827e63ad1ef3d7ca7bcbd53b?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_450%2Ch_600%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto" data-ik-caption-text="若段数有帮助，
请采纳。"/>

<p class="ikqb_image_caption" data-ik-caption-text="若有帮助，
请采纳。">若圆燃链有帮助，
请采纳。

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