Display blender object transform loc/rot/scale in another coordinate system (same +x, but +y up)

transform_blender__to_z64.py

import bpy
import mathutils

obj = bpy.context.active_object

blender_to_game = mathutils.Matrix(
    [
        [1, 0,0,0],
        [0, 0,1,0],
        [0,-1,0,0],
        [0, 0,0,1],
    ]
)

location = mathutils.Matrix.Translation(obj.location)

prev_rot_mode = obj.rotation_mode
try:
    obj.rotation_mode = "QUATERNION"
    rotation = obj.rotation_quaternion.to_matrix().to_4x4()
finally:
    obj.rotation_mode = prev_rot_mode

scale = mathutils.Matrix.Diagonal(obj.scale).to_4x4()

transform_blender = location @ rotation @ scale

transform_game = blender_to_game @ transform_blender @ blender_to_game.inverted()

print(transform_blender)

print(transform_game)

print("translation", transform_game.to_translation())
print("rotation", transform_game.to_euler("XYZ"))
print("scale", transform_game.to_scale()[:3])