Does this matrix have an inverse?

2013-02-01 3:39 am
12 13 14
15 16 17
18 19 20

The answer is no because the determinant is zero. How do I figure out the determinant

回答 (2)

2013-02-01 8:13 pm
✔ 最佳答案
The algorithm is too long to explain here. I'd google for it.

det=12*(16*20-17*19)-13*(15*20-17*18)+14*(15*19-16*18)
2013-02-03 7:25 pm
12 13 14
15 16 17
18 19 20

3 3 3
15 16 17 (R2 - R1)
18 19 20

3 3 3
3 3 3 (R3 - R2)
18 19 20

0 0 0
3 3 3 (R2 - R1)
18 19 20

If the row of a matrix is all 0s, the determinant of that matrix is 0.
The uppermost row of the matrix is all 0s.
Therefore, the determinant is 0.


收錄日期: 2021-05-01 14:40:46
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