'Math: How to convert a left-handed transformation matrix to a right handed one [closed]

I have a transformation matrix (rotation + translation) which was constructed in a right-handed coordinate system where X is right, Y is up and Z is into the screen.

If I want to apply this same transformation but in a left-handed coordinate system where X is right, Y is down and Z is out of the screen (is this left handed?) what alterations should I make to the existing transformation matrix.

Thanks

Solution 1:^[1]

@mbrenon's answer is correct. Just to be clear.

Check my answer on this question Changing a matrix from right-handed to left-handed coordinate system

As for your question, let M_ori be transformation matrix you have, M_dst is what you want in target corrdinate system.

$M_{dst}=\begin{bmatrix}1 & 0 & 0 &0 \\0 & -1 & 0 & 0\\ 0& 0& -1 &0 \\ 0& 0 & 0 & 1 \\\end{bmatrix}\cdot M_{ori} \cdot \begin{bmatrix}1 & 0 & 0 &0 \\0 & -1 & 0 & 0\\ 0& 0& -1 &0 \\ 0& 0 & 0 & 1 \\\end{bmatrix}^{-1}$

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Solution 1	vicky Lin

'Math: How to convert a left-handed transformation matrix to a right handed one [closed]

Solution 1:[1]

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Solution 1:^[1]