def set_transform_from_matrix(obj, bone_name, matrix, *, space='POSE', undo_copy_scale=False, ignore_locks=False, no_loc=False, no_rot=False, no_scale=False, keyflags=None):
    "Apply the matrix to the transformation of the bone, taking locked channels, mode and certain constraints into account, and optionally keyframe it."
    bone = obj.pose.bones[bone_name]

    def restore_channels(prop, old_vec, locks, extra_lock):
        if extra_lock or (not ignore_locks and all(locks)):
            setattr(bone, prop, old_vec)
        else:
            if not ignore_locks and any(locks):
                new_vec = Vector(getattr(bone, prop))

                for i, lock in enumerate(locks):
                    if lock:
                        new_vec[i] = old_vec[i]

                setattr(bone, prop, new_vec)

    # Save the old values of the properties
    old_loc = Vector(bone.location)
    old_rot_euler = Vector(bone.rotation_euler)
    old_rot_quat = Vector(bone.rotation_quaternion)
    old_rot_axis = Vector(bone.rotation_axis_angle)
    old_scale = Vector(bone.scale)

    # Compute and assign the local matrix
    if space != 'LOCAL':
        matrix = obj.convert_space(pose_bone=bone, matrix=matrix, from_space=space, to_space='LOCAL')

    if undo_copy_scale:
        matrix = undo_copy_scale_constraints(obj, bone, matrix)

    bone.matrix_basis = matrix