The difference between a traditional organization and an agile organization is basically, that the first is a framework of silos, that even persist in matrix set-ups because the mind-set has not changed. An agile organization has leaders with a changed mind-set. The agile organization is a living system that keeps evolving and thriving in this rapidly changing world.
The first thing that needs to change is your own mind! You need to prepare yourself for it and may have all your previous leadership style out of the window, learn yo trust your team and pull back to coordinate, instead of instruct.
The article below phrases the shift thus:
1. From certainty to discovery
2. From authority to partnership
3. From scarcity to abundance
Once you and your mind are ready you need to transform your team. Then you are ready to transform your organization.