Why does this error happen? [Warning: Rank deficient, rank = 2, tol = 1.850312e-14.]

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Isabel Muñiz
Isabel Muñiz 2020-9-28
评论： Ameer Hamza 2020-9-29
Why does this error happen?
A = [1 2 3; 4 5 6; 7 8 9; 10 11 12]
A =
1 2 3
4 5 6
7 8 9
10 11 12
A/A
[Warning: Rank deficient, rank = 2, tol = 1.696862e-14.]
ans =
1.0000 0 0 0
0.6667 0 0 0.3333
0.3333 0 0 0.6667
0.0000 0 0 1.0000

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回答（1 个）

Ameer Hamza
Ameer Hamza 2020-9-28
编辑：Ameer Hamza 2020-9-28
The matrix A is not invertible. If you calculate the reduced row echelon of this matrix, you will see that it only have two linearly independent rows
>> A = [1 2 3; 4 5 6; 7 8 9; 10 11 12];
>> rref(A)
ans =
1 0 -1
0 1 2
0 0 0
0 0 0
MATLAB error indicates that because of this issue, the result of inversion will be incorrect.

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