How to do inverse matrix (binary from ) in matlab ?
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Hello, I have this matrix in binary from
Q =
0 0 1
1 0 0
0 1 0
and I wants to get the inverse matrix (binary form) in matlab? how to do it? i use this Q_inv=inv(Q) to get inverse Q
Q_inv =
0 1 0
0 0 1
1 0 0
Is this Q_inv=inv(Q) is correct for inverse binary matrix ? if no, how to do it?
2 个评论
Roger Stafford
2017-11-18
That is the true inverse of Q. If you doubt that try this:
Q*Q_inv
You will get the 3x3 identity matrix as a result. That proves that Q_inv is the correct inverse.
回答(2 个)
Image Analyst
2017-11-18
To invert values by turning 0s into 1s and 1s into 0s, use tilde:
Q = ~Q;
2 个评论
Roger Stafford
2017-11-18
@Image Analyst: I disagree. Even on zm's example with Q, doing the negation operation does not create the multiplicative inverse. Try multiplying Q*(~Q) and you will see.
Image Analyst
2017-11-18
Roger, in the image processing community, inverting a binary image means what I said. It's very very common jargon. People use it all the time.
It's not clear whether "z m" meant the inverse (or "complement") of a binary image matrix, OR the traditional matrix inverse like you'd do with any matrix. That's why I offered the alternative interpretation.
Walter Roberson
2017-11-18
See https://www.mathworks.com/matlabcentral/answers/16990-galois-field-to-find-the-inverse-of-a-binary-matrix#answer_22910 for more about constructing inverses of boolean matrices.
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