Dynamic programming can optimize matrix multiplication by breaking down the problem into smaller subproblems and storing their solutions in a table (memoization). This approach reduces redundant computations and improves efficiency compared to naive methods. Techniques like Strassen's algorithm and divide and conquer can also be used, but dynamic programming specifically focuses on efficiently solving overlapping subproblems in matrix multiplication.

Thread synchronization plays a crucial role in preventing race conditions by implementing mechanisms such as mutual exclusion and critical section management. These techniques ensure that only one thread can access a shared resource at a time, thereby avoiding data inconsistencies and conflicts that can arise when multiple threads attempt to modify the same data concurrently. By enforcing sequential execution or controlled access to critical sections, thread synchronization helps maintain program correctness and stability in multithreaded environments.

Type 1 hypervisors operate directly on the underlying hardware, making them more efficient and suitable for server-level virtualization. In contrast, Type 2 hypervisors run on a host operating system, adding a layer of abstraction that can impact performance.

Virtual memory serves as a logical extension of physical memory, allowing the operating system to use secondary storage as an extension of RAM. This aids in managing larger programs and multitasking efficiently.

In this scenario, setting up a staging environment that closely resembles the production environment is crucial for effective debugging. It helps in replicating the issue consistently and enables thorough testing to identify the root cause of the intermittent failure.

NAT (Network Address Translation) allows multiple devices within a local network to share a single Private IP address. This Private IP address is usually assigned within the local network and is not routable on the public internet. Hence, "Private" is the correct option.

NgRx Store in Angular helps maintain consistent state across components by providing a centralized state management solution. It uses reactive programming concepts and facilitates easier state management in complex applications.

The Agile principle of "delivering working software frequently" emphasizes the importance of delivering usable software increments regularly. Continuous Integration is a practice that aligns well with this principle, as it involves frequently integrating code changes from multiple developers into a shared repository. This integration is followed by automated tests to ensure that the software remains functional and bug-free. Sprint Review is a ceremony in Agile where the team showcases the completed work to stakeholders, but it doesn't directly relate to the continuous delivery of working software. Test-Driven Development (TDD) is a development approach where tests are written before the code, aiding in software quality but not directly addressing frequent delivery. The Waterfall Model, in contrast, is a traditional sequential development approach that doesn't prioritize frequent software delivery. Therefore, Continuous Integration is the practice that best supports the Agile principle of delivering working software frequently.

The correct option is "Internet." In the TCP/IP model, packet routing occurs at the Internet layer (Layer 3). This layer is responsible for addressing, routing, and delivering packets between different networks. The Internet Protocol (IP) operates at this layer, providing the necessary functions for packet routing across the Internet.

The Proxy design pattern acts as a surrogate or placeholder for another object and controls access to it. On the other hand, the Decorator pattern dynamically adds new functionality to an object without altering its structure. Proxy focuses on controlling access, while Decorator focuses on adding responsibilities. Understanding these distinctions is crucial when deciding which pattern to use in a given context.