Sailors conduct flight operations on the deck of the aircraft carrier USS Carl Vinson, which the Trump administration deployed to the waters off the Korean peninsula this week in a show of force.

WASHINGTON — Upping the stakes in its slow-burning confrontation with North Korea, the Trump administration deployed an aircraft carrier to the region this week in a show of force that also could expose American weakness. If the North proceeds with a ballistic missile or nuclear test and the U.S. does nothing in response, America’s deterrence will appear diminished.

The USS Carl Vinson is steaming to waters off the Korean peninsula as anticipation mounts that Kim Jong Un will stage another weapons test around the anniversary of the birth of his grandfather, Kim Il Sung, the nation’s founder, on Saturday. Another potential date: An April 25 celebration of its armed forces.

Tensions are high on the divided peninsula. The North sees U.S.-South Korea war games as preparations for an invasion. The U.S. and its allies have expressed alarm about Pyongyang’s recent ballistic missile launches, including a four-rocket salvo last month it described as a practice to strike U.S. bases in Japan. Washington’s ultimate concern is the North’s developing ability to mount a nuclear warhead on an intercontinental missile, which it should be able to master in the next few years.

At the Pentagon Tuesday, Defense Secretary Jim Mattis said sending the Vinson was “prudent.”

And Army Gen. Vincent Brooks, commander of U.S. forces in South Korea, decided not to come to Washington for congressional hearings this month, his office said Tuesday, suggesting he had to stay for a potentially hazardous situation under his command. U.S. defense officials said that didn’t mean military action was imminent. A similar decision was made amid tensions in 2013.

But the Vinson’s presence near North Korea points to the larger challenge for the U.S. of deterrence, which has to be backed by the real threat of force. No one has spoken of shooting down a North Korean missile unless it directly threatens the U.S. or its allies in East Asia. And Kim is likely to be undeterred to conduct tests because he has made nuclear weapons development a national priority, seeing them as a guarantee against U.S.-backed regime changes that have toppled authoritarian regimes in Iraq, Libya and elsewhere.

President Donald Trump’s policy toward the North Korean threat is still taking shape. The emphasis has been on pressing China to use its economic leverage to rein in its wayward ally. When Chinese leader Xi Jinping met Trump in Florida last week, the U.S. urged China to block North Korea’s access to the international financial system by cracking down on banks and companies that deal with it.

But the Trump administration has been unusually outspoken about retaining pre-emptive military options against North Korea. The president has issued repeated, ambiguous warnings about his willingness to take unilateral actions — a threat that assumed new resonance after he ordered a missile strike against Syria last week over its alleged use of chemical weapons.

“North Korea is looking for trouble. If China decides to help, that would be great. If not, we will solve the problem without them! U.S.A.,” Trump tweeted Tuesday.

The United States periodically deploys aircraft carrier strike groups to waters near the Korean peninsula to retain a naval presence and project power in the Asia-Pacific region.