Question
In Numerical and Statistical Computing, which method is
used for solving linear equations with large datasets?Solution
Correct Option: Gaussian Elimination (B) is used for solving systems of linear equations, particularly when dealing with large datasets. It simplifies the matrix of coefficients to a reduced form, making the solution easier. Why Other Options Are Wrong: A) Newton's Method: Newton’s method is used for finding successively better approximations to the roots (zeros) of a real-valued function, not for solving systems of equations. C) Lagrange Interpolation: This is a polynomial interpolation method used for estimating values between known data points, not solving systems of linear equations. D) Gradient Descent: This is an optimization algorithm used in machine learning, not for directly solving systems of linear equations. E) Euler's Method: Euler’s method is used for solving ordinary differential equations, not for linear systems.
In a 5-stage pipeline (Fetch, Decode, Execute, Memory, Write-back), how many instructions can be in various stages of processing at the same time?
A transformer has a primary coil with 300 turns and a secondary coil with 150 turns. If the primary voltage is 240V, calculate the secondary voltage.
Which of the following is a common problem that synchronization mechanisms address in multi-threaded or multi-process environments?
What happens when a program accesses data that is not currently in physical memory (RAM) due to virtual memory management?
Which of the following is not a valid keyword in C++ language?
XML is designed to ____ and ____ data)
What is the main purpose of a digital signature in public key cryptography?
The best case time complexity of selection sort?
What is the space complexity of an algorithm?
Which functions are declared inside a class have to be defined separately outside the class?
