Changing a matrix from right-handed to left-handed coordinate system

I would like to change a 4x4 matrix from a right handed system where: x is left and right, y is front and back and z is up and down to a left-handed system where: x is left and right, z is front and back and y is up and down. For a vector it's easy, just swap the y and z values, but how do you do it for a matrix?

[benok]

右手系・左手系の姿勢行列を変換