The phrase "recklessly determined" is correct and usable in written English.
It can be used to describe someone who is resolutely committed to a course of action without regard for the potential consequences.
Example: "Despite the warnings from his friends, he was recklessly determined to climb the mountain alone."
Alternatives: "foolhardily resolved" or "impulsively committed".
In setting out a two-week timeframe for sunsetting the app without consulting with regulators first, the two companies were aggressive and naive at best, or, at worst, recklessly determined to push their deal through without concern for the regulatory bodies whose approval they needed.
The group supports the Whitfield-Mansion bill, claiming in a statement Thursday that the EPA is "recklessly determined to phase out coal".
News reports like this show that climate change is serious, but corporations and even some governments seem recklessly determined to minimize or deny the reality of global warming, as well as undermine the authority of scientists.
You may be recklessly determined but you will not be strong.
The first episode aired in 2013, and within its first ten minutes, we see that the protagonist, Red, is dogged, determined, and recklessly brave.
Despite the risks to children and the lack of informed consent on the part of their parents, the city appears determined to recklessly expand online learning over the next few years, and to spend $540 million next year alone on hardware, software and computer wiring to do so.
He travelled constantly, and involved himself fearlessly — some would say recklessly — in politics, as if he were determined to add to the bulk of that dossier.
If, finally, you're determined to do something as recklessly stupid as walk across a war zone, your surest bet to quash all the inevitable criticism is to write a flat-out masterpiece.
First, even if the severity of criminal punishments is to some degree determined by the extent of the harm caused (itself a controversial matter), it typically also depends on the nature and degree of the offender's culpability for that harm: someone who kills or injures recklessly can expect to be punished more severely than someone who causes death or injury by a negligent act or omission.
He insists that Islamabad is recklessly eliminating its political opponents in order to exploit Balochistan's rich mineral resources and gain control of the controversial port in Gwadar, where the Chinese are determined to operationalize a deep-sea port despite Baloch opposition to the project.
They seem determined to recreate the civil rights and deregulated financial sector wilderness of the 1920s; a world where millions of American citizens could not vote, where women were separate and unequal and where Wall Street gambled so recklessly that the global economy imploded and ushered in more than a decade of double-digit unemployment and the Great Depression.
