The inauguration of Donald J. Trump is not just a restoration of power for the former president. It’s a return for his family, as well.

They left Washington four years ago, alienated from many of their former friends and acquaintances in New York City because of their work in the administration. They return to Washington with more political and cultural support — and a far better understanding of how to wield their soft power.

Of course, everyone is a little older. Barron Trump, who was in elementary school when Mr. Trump entered office in 2017, is now a college freshman at New York University. He towered behind Mr. Trump’s shoulder on Monday during the inauguration ceremony, seated next to his mother, Melania.

The incoming first lady was both visible and inscrutable, wearing a sharply tailored navy suit and a large boater hat that concealed her eyes. Mrs. Trump, who largely retreated from public view after leaving the White House, plans to join her husband in Washington, D.C., and participate in an Amazon documentary.

Melania Trump walking toward the Capitol Rotunda for the inauguration ceremonies.Credit…Doug Mills/The New York Times

“This time, I have everything, I have the plans,” Mrs. Trump said in an interview on Fox News last week. “I already packed. I already selected the furniture that needs to go in. It’s a very different transition this time around.”

Thank you for your patience while we verify access. If you are in Reader mode please exit and log into your Times account, or subscribe for all of The Times.

Thank you for your patience while we verify access.

Already a subscriber? Log in.

Want all of The Times? Subscribe.